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KING, Circuit Judge: In this appeal from the district court’s grant of a writ of habeas corpus, we are confronted by a crime that is now nearly forty years old and the problems that arise when a defendant is re-tried decades after an initial conviction. Petitioner-Appellee Albert Woodfox, an inmate in the Louisiana State Penitentiary at Angola, Louisiana, was originally convicted in 1973 for the murder of prison guard Brent Miller. His conviction was eventually overturned in state court post-conviction proceedings, but the State re-indicted him and proceeded to a second trial in 1998. By that time many of the witnesses had died and physical evidence had been lost. The State and the defense were both forced to present the prior recorded testimony of witnesses from the first trial. Not surprisingly, the jury was presented with two portrayals of Woodfox, one as a hardened offender who advocated 'racial violence and force against the prison officials, and a second as a protector of weaker inmates and an advocate for prison reform who was targeted and framed for the crime due to his political activism. Although presented both with witnesses who swore that Woodfox was the killer and other witnesses who swore he had an alibi, the jury resolved the matter in favor of the State and again convicted Woodfox of murder. That conviction is the subject of the instant federal habeas proceeding. The district court held that Woodfox’s 1998 trial counsel rendered ineffective assistance in several respects. It held that counsel should have objected on confrontation grounds to the reading of the 1973 testimony from inmate Hezekiah Brown, who provided an eyewitness account incriminating Woodfox and who had died before the 1998 trial. The court believed the prior testimony was inadmissible because prior to the first trial, the State had suppressed information showing that Brown may have been lying about promises from prison officials in return for his testimony. The district court also faulted counsel for failing adequately to investigate or to object to other physical and testimonial evidence. The State of Louisiana, acting through the Respondent-Appellant Warden Burl Cain, appeals. We conclude that Woodfox’s confrontation-based argument about Brown is precluded from federal review because it was not adequately exhausted in state court, and that it also fails on the merits. As we explain below, we conclude that the deferential standard of review applied to state habeas decisions under the Antiterrorism and Effective Death Penalty Act mandates that we REVERSE the district court’s judgment. I. Factual and Procedural Background In 1972, the Louisiana State Penitentiary was a segregated institution prone to violence and harsh living conditions. The record suggests that stabbings occurred among the inmate population on a regular basis. Homosexual rape was prevalent, as was the presence of so-called “gal-boys,” inmates who acted like women in homosexual relationships and who were traded as slaves by stronger, predator inmates. The social and political unrest of the early 1970s that was common in the entire country added to the tension of an already hostile prison environment. The relevance of all these facts to this case will become clear later in this opinion. Albert Woodfox was an inmate at the penitentiary serving a fifty-year sentence for armed robbery. The prison’s medium security area included four dormitory groups (each with four dormitories), known as Pine, Hickory, Walnut, and Oak, that housed inmates in a barracks-like setting. Woodfox lived in the Hickory 4 dorm. Brent Miller, a young, well-liked prison guard, was one of two correctional officers assigned to the four Pine dormitories. The prison at that time was understaffed with correctional officers, and inmates often conducted themselves with a minimal number of guards supervising them. For example, prisoners in medium security were allowed a certain amount of autonomy in deciding whether or not to remain in their dorms or to go to breakfast in the dining hall. On April 17, 1972, Miller stayed behind in the dorm area while fellow correctional officer Paul Hunt escorted the inmates from Pine down the “walk” to the dining hall for breakfast. The inmates were initially unable to gain entrance to the dining hall because the inmate servers refused to serve breakfast in protest of the hours they were required to work. The disturbance was known as a “buck.” The prisoners were held out of breakfast while the warden attempted to resolve the buck. Some inmates returned to their dormitories, others remained outside. After the grievance was resolved, a second call to chow was made. Sometime between 7:30 a.m. and 8:00 a.m., while all this was going on, Miller entered the Pine 1 dormitory where inmate Hezekiah Brown kept a small coffee pot. Brown typically remained in the dorm for breakfast and often shared coffee with the guards. Upon returning from breakfast a short time later, Correctional Officer Hunt found Miller’s body lying in a pool of blood in the anteroom of the dorm. Miller had been stabbed 32 times. The prison immediately went into lock-down. Correctional officers began searching the dormitory area and found a homemade prison knife covered with wet blood hidden in a vent underneath Pine 1. Officers called in the West Feliciana Parish Sheriffs Department and the state police. A physical examination of the crime scene yielded four finger prints that were found by dusting the dorm wall by the water cooler near Miller’s body. An apparent bloody finger print was also visible on the door frame. Prison officials coordinated an investigation with the Sheriffs Department, which commenced questioning of several hundred inmates who were in the prison yard or near the scene at the time of the murder. Sheriff Bill Daniel and Deputy Thomas Guerin conducted much of the questioning of individual prisoners in the prison’s clothing room as the inmates waited for hours in line outside. They eventually questioned Woodfox, who denied any knowledge of the murder and claimed he was eating breakfast at the time. Sheriff Daniel testified that he seized Woodfox’s clothing — including a green jacket, blue pants, and brown shoes — because of small, suspicious stains that might have been blood. Daniel bagged these items for evidence and sent them to the state police crime lab for further examination. A state criminologist testified that a small stain on the jacket was found to be human blood but there was an insufficient amount to determine the blood type. The small stains on the pants and shoe were also determined to be blood, but the quantity was so small that the State’s expert could not determine if it was human or animal blood. This was significant because Wood-fox worked in the kitchen, where he could have come into contact with animal blood. Further, neither the fingerprints on the wall nor the bloody print found at the scene was matched to Woodfox or any other person at the prison. The State’s case against Woodfox was built largely on eyewitness testimony. The most damaging information came from Hezekiah Brown, who testified at Woodfox’s first trial in 1973. Because Brown was deceased by the time of the second trial in 1998, his prior testimony was read into the record. Brown was a 66-year-old inmate who had previously been on death row but had his sentence commuted to life prior to the events described herein. He initially told investigators on April 17, 1972, that he knew nothing about the murder and claimed to have an alibi placing him in the blood plasma unit at the time of the crime. Brown was questioned a second time on April 19, however, and gave a very different story. Brown testified at the 1973 trial that he was in the Pine 1 dorm when Miller came in to have coffee and sat down on Brown’s bed, which was the closest bunk to the door. As Brown was plugging in the coffee pot, he heard scuffling behind him. He looked up and saw four inmates had entered: Woodfox, Herman Wallace, Gilbert Montegut, and Chester Jackson. Brown testified that the men held handkerchiefs over their faces but that he was able to recognize them. Woodfox suffers from a skin condition that causes blotching and rendered him identifiable. According to Brown, Woodfox grabbed Miller from behind, lifted him up off the bed, and stabbed him in the back with a knife. He testified that the other inmates also grabbed Miller and began “jugging on him.” As they repeatedly stabbed Miller, the inmates pulled him into the small lobby area at the front of the dorm where they left him as they fled out the door. Brown testified that he was terrified the inmates were also going to kill him. As he watched Miller dying on the floor, Brown, who was black, believed it imperative that he not be present when the white guard was found. He followed the fleeing inmates out the door but soon realized he was still wearing his pajamas. He therefore returned to change his clothes and then went to the blood plasma unit to establish an alibi. Sheriff Daniel testified that after Brown gave his second statement, he prepared arrest warrants for Woodfox, Wallace, Montegut, and Jackson. Wallace was convicted after Woodfox’s first trial, and Jackson pleaded guilty to manslaughter. Montegut was acquitted, however. How prison officials came to interview Brown the second time and the circumstances under which he incriminated Woodfox were disputed at trial. Brown averred in his 1973 testimony that he did not know how prison officials knew that he had information about the murder but that no one threatened him or made promises in return for his testimony. At the 1998 trial, Warden C. Murray Henderson testified that he had promised to protect Brown from inmate retribution if he provided information and to help Brown with a pardon application. As discussed in greater detail below, the Warden’s testimony is not entirely clear as to what was said and when, but the Warden did apparently promise some assistance before Woodfox’s first trial. Brown was never questioned about the Warden’s promises because defense counsel in 1973 did not know about them. In any event, Henderson also testified that he was led to Brown by another inmate who lived in the Pine 1 dorm, Leonard “Specs” Turner. Turner was due to be released from his state sentence on the day after the murder. Henderson knew that Turner had not gone to breakfast on the morning of the killing and threatened to stop Turner’s parole if he did not tell what he saw in Pine 1. According to Henderson, Turner said that he did not see anything but that Brown was in the dorm and must have seen what had occurred. The State called Turner as a witness at the 1998 trial. He testified that he was in the dorm and saw Miller come in but that he left about five minutes later and saw nothing. He did not remember telling Henderson that Brown had been present. Turner also did not remember having a meeting with Captain C. Ray Dixon the night before his release, and he denied telling Dixon that he saw Woodfox kill Miller. The State later called Dixon, who testified that Turner often acted as his informer about events on the yard and that he spoke with Turner about Miller’s killing the night before Turner was released. Dixon said Warden Hayden Dees told him that Warden Henderson wanted Dixon to speak with Turner before Turner left the prison. According to Dixon, Turner wanted to keep his involvement secret and did not want to testify or sign any statements. Dixon testified that Turner told him what he knew about the murder and that Dixon wrote down what Turner said. Dixon identified an unsigned statement as being in his handwriting, but he had no independent recollection of what Turner had told him. Dixon was permitted to read from the statement to impeach Turner. The statement indicated that Turner said he saw Woodfox enter Pine 1 wearing a black cap and holding a handkerchief. Turner said Woodfox grabbed Miller in a “mugger hold” from behind and stabbed him as the other inmates helped in the struggle. The trial court gave a limiting instruction that the statement should be considered only to discredit Turner and should not be considered as evidence that the statement was true. The State also introduced other testimony in support of Brown’s account of the murder. First, the State called Joseph Richey, a former inmate at Angola who had lived in Pine 4 dorm across the walk from Pine 1. Richey testified that after the buck in the dining hall he went back to this dorm and slept for about an hour. After he awoke he saw Miller enter Pine 1 while Richey was brushing his teeth. Because he wanted to resume a previous conversation with Miller about Viet Nam, Richey began to leave his dorm. From his doorway, he saw Turner leave Pine 1 at a fast pace. Richey then observed Woodfox leave Pine 1 also at a fast pace and bump into a trash cart that was being pushed down the walk by another inmate named Fess Williams. Woodfox was not wearing a hat or gloves. Richey saw Montegut, Wallace, Jackson and then Brown exit the dorm, and he initially thought they were going to chow. He noticed that Brown, who was wearing pajamas, turned and went back in the dorm, and then came out again wearing his clothes and headed toward the kitchen. He thought this was unusual because Brown usually did not go to breakfast. Richey proceeded to Pine 1 where he saw Miller’s body. When he saw all the blood, Richey thought the inmates had gone to get medical help for Miller, and he waited on the side of the Pine dorm smoking a cigarette. Richey testified that when he was first interviewed about the murder he gave a “generic” answer about seeing Miller and waiting for help to arrive, but that about a month later he was interviewed again by Warden Dees and Captain Dixon and that he gave a statement identical to his testimony. On cross-examination, defense counsel questioned Richey about that prior statement, pointing out that, unlike his trial testimony, Richey had said that the four inmates actually passed him as he was entering the Pine 1 dorm and looked like they expected Richey to “walk into something.” Richey testified that his previous statement contained errors made by the typist, who confused the questions being asked with his answers. He also testified that the statement was later revised but that he signed it without reading it. The State also presented previously recorded testimony from inmate Paul Fobb. As with Brown, Fobb testified at the 1973 trial but had died prior to the 1998 re-trial. His previous testimony was also read into the record. Fobb had severe vision problems due to glaucoma in his left eye and an accident with a cotton stick that rendered him blind in his right eye. Fobb claimed, however, that he could see well enough in April 1972. Fobb first testified that during that month he had witnessed a confrontation between Miller and Woodfox where Miller had ordered Woodfox out of the Pine dorm area because Woodfox did not live there. About a week before Miller was killed, Fobb heard Woodfox say that Miller was “always messin’ with him.” Woodfox then said that he “had fifty years” and “ain’t gonna be kicked,” and he threatened “to fix that little bitch.” Fobb continued that on the Sunday before the murder he heard Woodfox and others plotting to stage the buck so that the guards would be distracted and leave the walk, leaving only one guard in each dormitory area. On the morning of April 17, Fobb was on his way to the blood plasma unit when he saw Woodfox enter Pine 1. Fobb testified that he saw Woodfox exit the dorm five to ten minutes later and throw a rag into the Pine 4 dorm. He said he was “stunned” at seeing Woodfox. Although Fobb identified Woodfox leaving Pine 1, he testified on cross-examination that he did not see anyone else. The State presented further evidence to suggest a motive for Woodfox in the killing. First, James Stevens, who was the Director of Prison Classifications in 1972, testified that a woman had been removed from Woodfox’s approved visitor list after prison officials intercepted a letter Wood-fox had written to the woman stating that “all correctional officers were pigs and that all white races should be killed.” John Sinquefield, the state prosecutor who prosecuted Woodfox in 1973, also testified about an encounter he had with Woodfox in a New Orleans courtroom where Wood-fox purportedly raised his shackled hands to spectators and said, “I want all of you to see what these racist, facist pigs have done to me.” Finally, the State presented a letter Woodfox had written after he was accused of Miller’s murder in which he spelled the word “America” with three “k”s. While the State painted Woodfox as a violent and militant offender, the defense theory was that Woodfox was singled out by prison officials because of his political activism in the Black Panther Party and his efforts to obtain prison reform, especially in the protection of victims of sexual predation. His theory was that prison officials rushed to judgment because he and the other accused inmates were perceived as “troublemakers.” Woodfox elicited testimony from Warden Henderson, who had come to Angola from out of state with designs for prison reform, that established prison officials, such as Warden Dees, resented his presence, were opposed to court orders for reform, and did not conduct a non-biased investigation of Miller’s murder. Woodfox suggested that Warden Dees had immediately made up his mind about who had committed the murder and confined him and the other three suspects in immediate “lockdown.” His theory was that prison officials such as Dees “put words” in the mouths of the inmates who incriminated him. Woodfox presented as an alibi witness the 1973 trial transcript of Everett Jackson, an inmate who said Woodfox was with him at breakfast. He also presented live testimony from Clarence Sullivan, an inmate who worked in the kitchen and said he saw Woodfox at the dining hall. Sullivan admitted he had never told anyone about this until speaking with defense counsel prior to trial, however, because at the time in 1972 he had been planning an escape and did not want to get involved. Woodfox further presented a transcript of the 1973 testimony of Fess Williams, who denied seeing anyone come out of Pine 1 and denied that Woodfox had bumped into his trash cart that morning, thereby contradicting the testimony of Richey. Woodfox also testified in his own behalf. He contended that after the buck in the dining hall he went to breakfast between 7:30 a.m. and 7:50 a.m. He claimed that after eating he went with Everett Jackson to get some legal papers and returned to his own dorm in Hickory 4 between 8:15 a.m. and 8:30 a.m. when all the inmates were ordered out onto the walk for questioning. He claimed that prison officials seized his clothes. Contrary to the testimony of Sheriff Daniel that Woodfox was wearing a green jacket, blue pants, and brown shoes that were bagged and labeled for evidence, Woodfox testified that he was wearing blue jeans, a grey sweatshirt, and rubber boots that he wore because he worked in the kitchen. He testified that the clothing was simply thrown into a pile in the corner. Woodfox also testified that the prison administration was blatantly racist, that Sheriff Daniel had pointed a gun at his head and threatened to shoot him, and that the State’s witnesses lied because of their hatred of him for trying to stop the sexual attacks at the prison. He claimed that both Brown and Richey were sexual predators, although there was no evidence corroborating this testimony. The jury found Woodfox guilty of murder, and he was sentenced to a mandatory term of life in prison without the benefit of parole, probation, or suspension of sentence. Woodfox unsuccessfully appealed his conviction through the state appellate process. He subsequently filed a timely state application for post-conviction relief, raising numerous claims of error. The state trial court initially denied the petition without obtaining a response from the State. The Louisiana First Circuit Court of Appeal granted a writ of review, however, and remanded with instructions that the trial court obtain an answer to the application from the prosecution. The State thereafter filed its response, and the trial court again denied the application. The trial court held that the application was without merit, and it also adopted the State’s response as its written reasons for denial. The state appellate court and the Louisiana Supreme Court both denied applications for writs without written opinions. Woodfox then timely filed the instant petition pursuant to 28 U.S.C. § 2254. The magistrate judge issued a report recommending that relief be granted on several grounds. The magistrate judge determined first that counsel rendered ineffective assistance by failing to object to the admission of Brown’s 1973 testimony at the 1998 trial. The magistrate judge reasoned that Woodfox’s 1973 counsel was unable to question Brown about promises made to him by Warden Henderson because the State had suppressed that information, and therefore the admission of the testimony in 1998 violated the Confrontation Clause. The magistrate judge also determined that Woodfox’s trial counsel had been ineffective for (1) failing to object to testimony by former prosecutor John Sinquefield vouching for Brown’s demeanor and credibility when testifying at the 1973 trial; (2) failing to investigate and obtain expert witnesses to test the bloodstained clothing or review the tests performed by the State’s expert; (3) failing to obtain an expert to evaluate the bloody print found at the murder scene and to verify or refute the conclusion of the State’s expert that the print might be a palm print rather than a finger print; (4) failing to investigate and present medical evidence concerning witness Paul Fobb’s blindness that would have discredited Fobb’s testimony; and (5) failing to object to the State’s referral to inadmissible hearsay statements contained in a prior statement of Chester Jackson. The magistrate judge determined that the foregoing deficiencies of Woodfox’s counsel prejudiced the defense and undermined confidence in the outcome of the 1998 trial. The magistrate judge therefore recommended that Woodfox’s conviction be vacated and the case remanded to the state court. The district court adopted the magistrate judge’s report and granted the writ of habeas corpus. The State now appeals. It contends that the district court, through adoption of the magistrate judge’s report, failed to afford the state habeas proceedings the proper measure of deference and incorrectly determined that trial counsel rendered ineffective assistance. II. Standard of Review On review of the district court’s grant of habeas relief, we review issues of law de novo and findings of fact for clear error. Fratta v. Quarterman, 536 F.3d 485, 499 (5th Cir.2008). A claim of ineffective assistance of counsel presents a mixed question of law and fact. Richards v. Quarterman, 566 F.3d 553, 561 (5th Cir. 2009). If the district court’s findings of fact are not clearly erroneous, we will independently apply the law to the facts as found by the district court. Id. Woodfox’s § 2254 petition is governed by the Antiterrorism and Effective Death Penalty Act of 1996 (AEDPA). The AEDPA requires that federal courts defer to a state court’s adjudication of a claim if the claim has been adjudicated on the merits in the state court proceedings unless the state court decision was (1) “contrary to, or involved an unreasonable application of, clearly established Federal law, as determined by the Supreme Court,” or (2) “was based on an unreasonable determination of the facts in light of the evidence presented in the State court proceeding.” 28 U.S.C. § 2254(d). A state court decision is “contrary to” federal precedent if it applies a rule that contradicts the governing law set forth by the Supreme Court or if it involves a set of facts that are materially indistinguishable from a Supreme Court decision but reaches a result different from that Court’s precedent. Woodward v. Epps, 580 F.3d 318, 325 (5th Cir.2009). “A state court unreasonably applies clearly established federal law as determined by the Supreme Court if it identifies the correct governing principle established by the Supreme Court, but unreasonably applies that principle to the facts of the case.” Rogers v. Quarterman, 555 F.3d 483, 488-89 (5th Cir.2009). An unreasonable application of federal law is different from an incorrect or erroneous application of the law. Id. (citing Williams v. Taylor, 529 U.S. 362, 409-10, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000)). “The question under AEDPA is not whether a federal court believes the state court’s determination was incorrect but whether that determination was unreasonable — a substantially higher threshold.” Schriro v. Landrigan, 550 U.S. 465, 473, 127 S.Ct. 1933, 167 L.Ed.2d 836 (2007). Furthermore, we review for objective reasonableness the state court’s ultimate legal decision, not necessarily the state court’s opinion and legal reasoning for its ultimate decision. Neal v. Puckett, 286 F.3d 230, 246 (5th Cir.2002) (en banc). III. Discussion The State argues that the district court failed to apply the AEDPA’s heightened deferential standard of review to Wood-fox’s ineffective assistance claims. It notes that the court reviewed de novo Woodfox’s claim regarding counsel’s failure to challenge the 1998 indictment and testimony of Brown on Confrontation Clause grounds, and then carried that standard of review forward when considering Woodfox’s remaining claims. We agree that the district court failed to apply the proper degree of deference to the state court’s denial of relief on Woodfox’s confrontation-based claim, but we pause first to consider the threshold issue whether Woodfox properly exhausted that claim for relief. See Nobles v. Johnson, 127 F.3d 409, 419 (5th Cir.1997) (“A state prisoner normally must exhaust all available state remedies before he can apply for federal habeas relief.”). We raise this issue sua sponte because, as discussed further below, we conclude that the State has not expressly waived it. See Tigner v. Cockrell, 264 F.3d 521, 526 n. 3 (5th Cir.2001). A. Ineffective assistance for failing to raise a confrontation objection 1. Exhaustion A federal court may not grant habeas relief unless “the applicant has exhausted the remedies available in the courts of the State.” 28 U.S.C. § 2254(b)(1)(A). Exhaustion requires that the prisoner “have fairly presented the substance of his claim to the state courts.” Nobles, 127 F.3d at 420. “Determining whether a petitioner exhausted his claim in state court is a case- and fact-specific inquiry.” Moore v. Quarterman, 533 F.3d 338, 341 (5th Cir.2008) (en banc). Therefore, in order to determine whether Wood-fox properly exhausted his confrontation-based claim, it is necessary to examine in detail Woodfox’s federal claim compared with his state claim. Woodfox’s federal § 2254 petition characterized his claims as ineffective assistance. He specifically challenged counsel’s failure to contest on confrontation grounds the admission of Brown’s 1973 testimony at the 1998 trial. Woodfox’s theory was that the State suppressed the fact that Warden Henderson promised to help Brown get a pardon in return for his testimony, thereby denying Woodfox the opportunity to impeach Brown in 1973 and rendering the reading of that prior testimony inadmissible in 1998. Woodfox, who was represented by counsel in both federal and state court, argued the claim in federal court this way: Brown’s prior testimony runs far afoul of the requirements of the [Confrontation [CJlause, not only because the jury was unable to assess his demeanor firsthand, but because Mr. Woodfox was unable to impeach and otherwise cross examine this critical witness regarding, among other things, the promise of a pardon made to him by the head warden in exchange for his testimony. Counsel’s failure to pursue this challenge to retrial cannot be defended. Because the trial court would have had no choice but to uphold such a challenge, prejudice is established. Woodfox’s claim thus presented a hybrid of Brady/Giglio principles and an inadequate opportunity for cross-examination, layered within an ineffective assistance claim. In his state court application for post-conviction relief, which is voluminous and disjointed, Woodfox focused on the perceived unfairness of being subjected to a re-trial after the passage of so many years because of the intervening death of several witnesses and the loss of physical evidence. Woodfox presented fifty pages of discussion of his version of the “facts,” broken into subsections dealing with particular trial witnesses. With respect to Hezekiah Brown, Woodfox discussed Brown’s 1973 testimony and its alleged deficiencies. He stated that “[sjince the 1996 death of Brown — and with him, the opportunity for Mr. Woodfox to meaningfully cross-examine him — a vast amount of impeachment evidence has come to light.” He then spent several pages discussing the Warden’s promise to Brown, letters the Warden wrote on Brown’s behalf after the 1973 trial, the alleged incentives Brown later received, and the testimony and out-of-court statements of other witnesses suggesting that Brown “was a liar” and unworthy of belief. Woodfox concluded: “Brown’s testimony, with its contradictions and his inability to answer numerous key questions, is highly dubious. When coupled with the impeachment evidence ... it is simply unbelievable.” Woodfox did not argue that counsel was ineffective for failing to challenge on confrontation grounds the reading of Brown’s testimony in 1998, focusing instead on the alleged unreliability of Brown’s testimony. Woodfox then presented 90 pages of specific “claims for relief,” none of which asserts that counsel failed to object to Brown’s 1998 testimony. Instead, Wood-fox’s state application (1) cites and discusses the general principles of Brady, Giglio, and Kyles v. Whitley, 514 U.S. 419, 115 S.Ct. 1555, 131 L.Ed.2d 490 (1995); (2) asserts that had he not been denied certain exculpatory evidence (unrelated to Brown), “he could have refuted the State’s case at every turn”; and (3) argues that counsel should have sought to quash the indictment because the 21-year delay between indictments denied him due process and confrontation, in part because of the intervening death of Brown. As the district court noted, this last argument appears akin to a speedy trial claim. Woodfox’s state habeas application asserted that the 1998 trial counsel was ineffective for failing to quash the 1998 indictment, noting that more than 20 years had passed since the first indictment. The argument reads as follows: [Counsel] should have filed a motion to quash the indictment on this ground. The delay between the first and second indictment was 21 years. The length of this delay is presumptively oppressive given the fact that Mr. Woodfox was in state custody. The reason for the delay was the failure of the state to bring his case before a legal grand jury. The delay of more than two decades has adversely affected his defense. The key witness against him, Hezekiah Brown, died before trial, as did Paul Fobb. Evidence could not be found and was thus unavailable for defense testing. Because of counsel’s failure to challenge the indictment, Mr. Woodfox’s rights to Due Process and Confrontation could not be honored. His conviction must be reversed. (Emphasis added). Although Woodfox mentioned the Confrontation Clause, he presented no coherent argument on confrontation, and this paragraph does not resemble the claims Woodfox made in his § 2254 petition about counsel’s ineffectiveness as l’elated to Brown. The various assertions that Woodfox did make in the state application about Brown, confrontation, and his own counsel are interspersed and separated by many pages. Then at page 139 of his state application, Woodfox sets out among a laundry list of claims — without discussion or analysis — the bald statement that his “rights to due process and to confrontation were violated by the admission of transcripts of prior testimony of Hezekiah Brown.” We cannot conclude from the foregoing that Woodfox’s state application fairly raised the distinct issue of whether his 1998 counsel should have objected to Brown’s testimony on the ground that his 1973 counsel was denied a fair opportunity to cross-examine and impeach Brown on the Warden’s promise. All Woodfox did was present general principles of law and present information that might permit an inference of such a claim. Although he presented to the state court the concepts of Brady/Giglio and the mere suggestion that he was unable to effectively cross-examine Brown in 1973, he made no effort to join the law with the facts of the case. “It is not enough that all the facts necessary to support the federal claim were before the state courts or that a somewhat similar statelaw claim was made.” Anderson v. Harless, 459 U.S. 4, 6, 103 S.Ct. 276, 74 L.Ed.2d 3 (1982) (internal citations omitted). “Rather, the petitioner must afford the state court a ‘fair opportunity to apply controlling legal principles to the facts bearing upon his constitutional claim.’ ” Bagwell v. Dretke, 372 F.3d 748, 755 (5th Cir.2004) (quoting Anderson, 459 U.S. at 6, 103 S.Ct. 276). Woodfox’s state application did not afford such an opportunity to the state court without that court first having to surmise and infer the basis for Woodfox’s ineffective assistance claim. In addition, Wood-fox was proceeding with counsel. Although we liberally construe pro se pleadings, we do not afford such latitude to pleadings prepared by counsel. See United States v. Gonzalez, 592 F.3d 675, 680 n. 3 (5th Cir.2009); Beasley v. McCotter, 798 F.2d 116, 118 (5th Cir. 1986). We therefore conclude that Wood-fox’s confrontation-based ineffective assistance claim is unexhausted and procedurally barred from federal review. See Hatten v. Quarterman, 570 F.3d 595, 605 (5th Cir.2009). As noted above, we have raised the exhaustion issue sua sponte, which we have the authority to do provided that the State has not waived it. See Tigner, 264 F.3d at 526 n. 3; Clinkscale v. Carter, 375 F.3d 430, 436-37 (6th Cir.2004); 28 U.S.C. § 2254(b)(3) (“A State shall not be deemed to have waived the exhaustion requirement or be estopped from reliance upon the requirement unless the State, through counsel, expressly waives the requirement.”). Although the State indicated in its answer to the § 2254 petition in the district court that Woodfox’s claims were exhausted, we do not find an express waiver in light of the State’s briefing of the issue. “The touchstone for determining whether a waiver is express is the clarity of the intent to waive.” Carty v. Thaler, 583 F.3d 244, 256 (5th Cir.2009) (quotation marks and citation omitted), cert. denied, - U.S. -, 130 S.Ct. 2402, 176 L.Ed.2d 923 (2010) (No. 09-900). In Carty, we noted with approval a Sixth Circuit decision that found waiver based on “ ‘counsel’s conduct during the district court proceedings,’ ” which had “ ‘manifested a clear and unambiguous intent to waive’ ” exhaustion. Id. at 257 n. 9 (quoting D Ambrosio v. Bagley, 527 F.3d 489, 497 (6th Cir.2008)). We held that the State waived the exhaustion issue in Carty because its motion for summary judgment in the district court showed that it treated all the relevant claims as exhausted. Id. at 257; see also Bledsue v. Johnson, 188 F.3d 250, 254 (5th Cir.1999) (holding exhaustion expressly waived when the State admitted in its answer to the federal habeas petition that the prisoner had “sufficiently exhausted his state remedies”). We have also held that there was no “express waiver” where the State indicated that it merely “believed” the prisoner had exhausted his claims, although we concluded this was the equivalent of failing to assert the defense of non-exhaustion. McGee v. Estelle, 722 F.2d 1206, 1213 (5th Cir.1984) (en banc). The State’s answer to Woodfox’s federal habeas petition stated that “on October 11, 2006, petitioner filed these timely and exhausted claims in the present petition for writ of habeas corpus.” (emphasis added). The State made an identical statement in its memorandum in support of its answer. However, in the body of its memorandum addressing the ineffective assistance claim surrounding Brown’s testimony, the State argued that Woodfox was actually making a new argument. The State first asserted that in the state habeas application Wood-fox had “limited his argument [about counsel’s failure to challenge the indictment] to the fact that twenty-one years between the first and second indictments as well as evidence that had been lost was presumptively oppressive and had a prejudicial [effect on] his defense.” The State subsequently argued that: In this present claim, petitioner expands on the fact that the second trial jury was unable to assess Hezekiah Brown’s demeanor first hand, that petitioner was unable to impeach Brown and otherwise cross examine this “critical” witness regarding such issues as a pardon offer made by the warden. As a result of this new argument, petitioner then comes to the new conclusion that a trial court “would have had no choice but to uphold such a challenge” and prejudice [from counsel’s ineffectiveness] is thereby established. (Emphasis added). By characterizing Woodfox’s argument as a new claim in its district court brief, the State hardly made a clear and unambiguous waiver of exhaustion. At most, it simply failed to assert non-exhaustion as a defense. We therefore hold that we are not precluded from raising exhaustion sua sponte and finding that Woodfox’s claim is procedurally barred. Woodfox may not obtain federal relief on the unexhausted claim. If a prisoner fails to exhaust state remedies and the court to which the prisoner would be required to present his claims in order to meet the exhaustion requirement would now find the claims procedurally barred due to the prisoner’s own procedural default, “federal courts are barred from reviewing those claims.” Sones v. Hargett, 61 F.3d 410, 416 (5th Cir.1995). To overcome the procedural bar on nonexhaustion, Woodfox must “demonstrate cause for the default and actual prejudice as a result of the alleged violation of federal law, or demonstrate that failure to consider the claims will result in a fundamental miscarriage of justice.” Coleman v. Thompson, 501 U.S. 722, 750, 111 S.Ct. 2546, 115 L.Ed.2d 640 (1991); see Ries v. Quarterman, 522 F.3d 517, 523-24 (5th Cir.2008). We find no basis for cause for failing to exhaust the claim in state court, especially since Woodfox was represented by counsel in the state habeas proceedings. See In re Goff, 250 F.3d 273, 276 (5th Cir.2001) (“[I]neffective assistance of counsel in a post-conviction proceeding cannot serve as cause to excuse procedural default in a federal habeas proceeding.”). We likewise see no basis to find a miscarriage of justice for not reviewing the claim. A claim of a miscarriage of justice is limited to a claim of “actual innocence,” which requires the prisoner to establish through new and reliable evidence “that it was ‘more likely than not that no reasonable juror would have convicted him in the light of the new evidence.’ ” Fairman v. Anderson, 188 F.3d 635, 644 (5th Cir.1999) (quoting Schlup v. Delo, 513 U.S. 298, 327, 115 S.Ct. 851, 130 L.Ed.2d 808 (1995)). The “new” evidence upon which Woodfox’s claim rests is the Warden’s promise to assist Brown with his pardon application. This evidence does not establish that no juror would have convicted Woodfox. In fact, the 1998 jury convicted Woodfox despite the revelation of Warden Henderson’s promise. We therefore conclude that Woodfox cannot overcome the procedural bar of non-exhaustion. Even assuming arguendo that Woodfox adequately presented his confrontation-based ineffective assistance claim in his state habeas application, we find that the district court erroneously granted federal habeas relief. To address the district court’s grant of habeas relief on the confrontation claim, we must determine whether the state court adjudicated the claim on the merits, thereby requiring the application of AEDPA deference, and if so, whether the state court’s adjudication was contrary to or an unreasonable application of federal law. 2. AEDPA deference The AEDPA’s deferential standard is afforded to a state court decision only when the state court adjudicated the petitioner’s claims on the merits. See 28 U.S.C. § 2254. This is akin to asking whether the state court decision was “ ‘substantive or procedural.’ ” Mercadel v. Cain, 179 F.3d 271, 274 (5th Cir.1999) (quoting Green v. Johnson, 116 F.3d 1115, 1121 (5th Cir.1997)). In the instant case, the Louisiana Supreme Court denied Woodfox’s application for supervisory writs with a one-word denial. See State v. Woodfox, 937 So.2d 850 (La.2006). “When faced with a silent or ambiguous state habeas decision, the federal court should ‘look through’ to the last clear state decision on the matter.” Jackson v. Johnson, 194 F.3d 641, 651 (5th Cir.1999). The last clear state court decision of any substance to address Woodfox’s claims was the state trial court’s decision denying Woodfox’s habeas application. That decision, in turn, also adopted the State’s answer to Wood-fox’s application. We must therefore decide whether the state habeas court’s decision and adoption of the State’s response was an adjudication on the merits because it was a “substantive” decision subject to the AEDPA deferential standard of review, or whether it was a “procedural” decision to which deference does not apply. See Mercadel, 179 F.3d at 274. The state court’s “decision” in this case actually comprised two documents, a “Judgment” and a statement of “Written Reasons.” The “Judgment” denied Wood-fox’s entire habeas application. It stated that Woodfox’s claims had been “fully addressed” by the State’s response and that “[a] review of the record of these proceedings, as well as the answer, indicates that there is no need to hold an evidentiary hearing in these proceedings. For written reasons this day adopted and assigned, the Court finds that the allegations are without merit and the Application may be denied without the necessity of any further proceedings.” A separate, undated document captioned “Written Reasons” stated that “Petitioner,” meaning Woodfox, bears the burden of proof to show he is entitled to habeas relief. It cited La.Code Crim. P. art. 930.2, and then stated that “[i]n light of such burden of proof, the Court has fully considered the application, the answer, and all relevant documents and has determined that Petitioner has failed to carry his burden of proof.” The document continued, “In determining that Petitioner’s application should be denied, the Court, moreover, adopts the State’s Response to Application for Post Conviction Relief as the written reasons for the Court’s decision.” The district court decided that the state trial court, through its adoption of the State’s opposition to Woodfox’s post-conviction relief application, failed to address Woodfox’s Due Process and Confrontation Clause contentions respecting the reading of Brown’s 1973 testimony at the 1998 trial. This purported failure by the state court to address the claim led the district court to conclude that de novo review applied rather than the AEDPA’s deferential standard. We disagree with the district court’s assessment. First, the State’s response to Woodfox’s state habeas application mirrored the structure of Woodfox’s petition. It first discussed generally Woodfox’s factual assertions about the various trial witnesses, and it then discussed the specific legal claims. In the first part of the State’s brief in a section captioned “Hezekiah Brown,” the State said: “What is very interesting is that, although there is discussion of the testimony of Hezekiah Brown included in the Statement of Facts portion of the application, there is no mention of it in the Claims for Relief section.” The State then went on to indicate how important Brown’s testimony was and that even if Woodfox disagreed with the verdict, it was reasonable for the jury to choose to believe the State’s witnesses. This directly responded to Woodfox’s attack on Brown’s credibility. In the second part of its response, the State addressed inter alia Woodfox’s specific claims of ineffective assistance of counsel. Although it did not discuss Brown again, the State set forth the correct legal standard under Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984), for evaluating ineffective assistance claims and issued a blanket denial “that any of Wood-fox’s claims allege deficient performance on the part of counsel.” (Emphasis added). The state court’s judgment and written reasons, along with the incorporated State response, thus show that the state trial court issued a merits-based adjudica-, tion of all of Woodfox’s claims, including the claim about Brown’s testimony. Lest there be any doubt, we have adopted a three-part test to decide whether a state court’s decision was an adjudication on the merits when that decision is unclear. We consider the following: (1) what the state courts have done in similar cases; (2) whether the history of the case suggests that the state court was aware of any ground for not adjudicating the case on the merits; and (3) whether the state courts’ opinions suggest reliance upon procedural grounds rather than a determination on the merits. Mercadel, 179 F.3d at 274. Besides stating that Woodfox’s claims had no merit and that it would adopt the State’s response, the state court here cited La.Code Crim. P. art. 930.2. That provision provides simply that “[t]he petitioner in an application for post conviction relief shall have the burden of proving that relief should be granted.” The Louisiana Supreme Court has cited article 930.2 in other cases when a petitioner failed to carry his burden on the merits of the case. See State v. LeBlanc, 937 So.2d 844, 844 (La. 2006) (citing art. 930.2 after stating that petitioner failed to show he pleaded guilty involuntarily); State v. Berry, 430 So.2d 1005, 1013 (La.1983) (citing art. 930.2 because petitioner’s claim that the jury was not furnished with a copy of aggravating and mitigating circumstances was “unsubstantiated and therefore without merit”). But the court has also cited that provision when a petitioner failed to meet his burden on some procedural point. See State v. Russell, 887 So.2d 462 (La.2004) (citing art. 930.2 because petitioner failed to carry his burden of proof that post-conviction application was timely filed). Therefore, consideration of what the state courts have done in other cases, by itself, is not dispositive of whether the state court’s citation to article 930.2 in this case was substantive or procedural. But when considered in light of the other factors, we think it is clear that the state court decided all of Wood-fox’s claims on the merits. The second factor of the Mercadel test, whether the history of the case suggests that the state court was aware of any ground for not adjudicating the case on the merits, fails to show any such awareness. In Barrientes v. Johnson, 221 F.3d 741, 779 (5th Cir.2000), we held that this factor supported a conclusion that the state court adjudicated the merits where the State’s response to the habeas petition in state court attacked the claims on the merits rather than arguing the procedural point of waiver. We “surmised” that the state court was not put on notice by the State’s response that the claim was waived. Id. Similarly here, the State made no argument to put the state court on notice of any procedural defect in Woodfox’s state application. Instead, the State presented only merits-based arguments under the Strickland standard and, as noted above, denied that any of the ineffective assistance claims showed deficient performance by counsel. Furthermore, Woodfox conceded in his § 2254 petition in the district court that the state court had ruled on the merits of his claims, specifically stating that “the claims raised in this petition[, other than the grand-jury claim, which was raised on direct appeal,] were presented by Mr. Woodfox in his state postconviction application, and all claims were rejected on the merits.” Therefore, the history of the case suggests the state court adjudicated the merits. The final prong of the three-part inquiry, “whether the state courts’ opinions suggest reliance upon procedural grounds rather than a determination on the merits,” further tips the scale in favor of finding a merits-based adjudication. The state court’s judgment stated that the “record,” as well as the State’s response, indicated no need for a hearing and that “the allegations are without merit.” (Emphasis added). Similarly, the state court’s written reasons stated that the court had considered “the application, the answer, and all relevant documents” before concluding that Woodfox failed to meet his burden of proof. The court then stated that “moreover” it would adopt the State’s response to Woodfox’s application. “Moreover” means “[i]n addition thereto, also, furthermore, likewise, beyond this, beside this,” Black’s Law Dictionary 1009 (6th ed.1990), or “in addition to what has been said.” Merriam-Webster’s Collegiate Dictionary 755 (10th ed.2002). In other words, the state court reviewed all relevant documents in the record of the proceedings, including the State’s answer, and found no merit to any of Woodfox’s claims. In addition to this conclusion, the court adopted the reasoning of the State’s response. There is simply no indication in the state court adjudication that suggests a reliance on any procedural vehicle rather than the merits to deny relief. Moreover, AEDPA deference applies to a state court adjudication even when the state court gives no indication whatsoever as to the reasons for the decision. See Schaetzle v. Cockrell, 343 F.3d 440, 443 (5th Cir.2003) (“Because a federal habeas court only reviews the reasonableness of the state court’s ultimate decision, the AEDPA inquiry is not altered when, as in this case, state habeas relief is denied without an opinion.”); Henderson v. Cockrell, 333 F.3d 592, 598 (5th Cir.2003) (“AEDPA’s standards apply, however, when the state’s highest court rejects a claim without giving any indication of how or why it reached that decision.”). If we would accord AEDPA deference to a state court decision that contained no explanation for its denial of relief, we are hard pressed to deny such deference to a state court’s decision indicating that the claims were without merit but also adopting the State’s response to the habeas application. We therefore conclude that, assuming Woodfox properly exhausted his confrontation-based ineffective assistance claim concerning Hezekiah Brown’s testimony, the state court’s denial of relief was an adjudication on the merits to which we must afford AEDPA deference. Turning to the merits of Woodfox’s claim, we must next determine whether the state court’s denial of relief was contrary to or an unreasonable application of clearly established federal law as established by the Supreme Court. See § 2254(d)(1). 3. Application of AEDPA deference to the merits At Woodfox’s 1973 trial, Hezekiah Brown testified in response to questioning from the State that he had not been promised any incentives in return for his testimony, other than protection from other inmates. During his 1973 cross-examination, Brown denied making certain statements to defense counsel and indicated that defense counsel was the only person to have made any promises to help Brown. Brown’s direct and cross-examination were read to the jury in 1998. As part of his defense, Woodfox called Warden Henderson, who testified about interviewing Brown a few days after the murder. When Brown incriminated Woodfox at this interview, he had been moved to the “dog pen,” a minimum security area used to house the prison’s hunting dogs and to also house trustees and inmates under protection. Henderson testified that he promised to “protect” Brown and that he “later” promised to support Brown’s pardon application, although Henderson could not recall when he made that promise. When asked about Brown’s testimony in 1973 that nothing had been promised to him, Henderson said, “Well nothing was promised to him to begin with, but we told him, you know, we would protect him and try to help him any way we could after he, you know, cracked the case for us.” Id. at 1964 (emphasis added). When asked whether promises were made “before [Brown] testified,” Henderson said, “That’s right.” Defense counsel also had Henderson identify letters that were later written on Brown’s behalf in support of a pardon application. The foregoing testimony, although equivocal as to what promises were made to Brown, is the basis upon which the district court held that the admission of Brown’s 1973 testimony violated the Confrontation Clause because Brown could not be questioned about the Warden’s promise, and that the failure of Woodfox’s 1998 trial counsel to raise an objection was deficient performance. We disagree with the district court. In order to find that the state court’s denial of relief was contrary to clearly established federal law, we must conclude that a potential Brady/Giglio violation in 1973 that suppressed information contradicting Brown’s testimony rendered that testimony inadmissible at the second trial, and that Woodfox’s 1998 counsel was objectively unreasonable for failing to raise a confrontation objection even though the jury was aware of the impeaching information at the second trial. Although the merits of Woodfox’s claim thus concern the intersection of Brady/Giglio with Confrontation Clause jurisprudence, the overarching legal principle is the familiar ineffective assistance standard of Strickland. Under that standard, the petitioner bears the burden to show that counsel’s performance fell below an objective standard of reasonableness and that the deficiency prejudiced the defense. See Strickland, 466 U.S. at 687-88, 104 S.Ct. 2052. Our review of counsel’s performance is highly deferential, and counsel’s conduct is presumed to fall within a wide range of reasonable professional assistance. Id. at 689, 104 S.Ct. 2052; Soffar v. Dretke, 368 F.3d 441, 471 (5th Cir.2004). The petitioner must show that counsel “made errors so serious that he was not functioning as the ‘counsel’ guaranteed to the defendant under the Sixth Amendment.” Strickland, 466 U.S. at 687, 104 S.Ct. 2052. To establish prejudice, the petitioner must show a reasonable probability that, but for counsel’s deficient performance, the result of the proceedings would have been different. Id. at 694, 104 S.Ct. 2052. “A reasonable probability is a probability sufficient to undermine confidence in the outcome.” Id. A failure to establish either deficient performance or prejudice defeats the claim. Id. at 697, 104 S.Ct. 2052. The performance of Woodfox’s 1998 trial counsel hinges on the objective reasonableness of counsel’s failure to raise a confrontation-based objection to Brown’s 1973 testimony. This requires examination of the controlling law for confrontation-based claims. The Supreme Court’s Confrontation Clause jurisprudence was changed significantly when the Court decided in Crawford v. Washington, 541 U.S. 36, 53-55, 124 S.Ct. 1354, 158 L.Ed.2d 177 (2004), that testimonial statements from an unavailable witness may not be introduced at trial without a prior opportunity for cross-examination, irrespective of any exceptions for hearsay. Crawford is not relevant to our consideration, however, because it was decided after Woodfox’s 1998 trial and it does not apply retroactively. See Whorton v. Bockting, 549 U.S. 406, 409, 127 S.Ct. 1173, 167 L.Ed.2d 1 (2007). Instead, defense counsel’s performance must be judged based on the law that was in existence at the time of the trial. See Paredes v. Quarterman, 574 F.3d 281, 287 (5th Cir.2009). At the time of Woodfox’s 1998 trial the admission of Brown’s testimony was governed by the Supreme Court’s decision in Ohio v. Roberts, 448 U.S. 56, 100 S.Ct. 2531, 65 L.Ed.2d 597 (1980). The Confrontation Clause of the Sixth Amendment guarantees a criminal defendant the right “to be confronted with the witnesses against him.” U.S. Const. amend. VI. In Roberts, the Supreme Court held that the admission of a hearsay statement will not violate the Confrontation Clause if the witness is unavailable and the statement “bears ‘adequate indicia of reliability.’ ” 448 U.S. at 66, 100 S.Ct. 2531; United States v. Avants, 367 F.3d 433, 445 (5th Cir.2004). This indicia of reliability is present if the statement “falls within a firmly rooted hearsay exception” or if it is shown to possess “particularized guarantees of trustworthiness.” Roberts, 448 U.S. at 66, 100 S.Ct. 2531. There is no question but that sworn testimony, such as Brown’s, given at a prior hearing where the defendant had an opportunity to cross-examine the now-unavailable witness, ordinarily meets the Roberts test for admission under a firmly rooted exception to hearsay. See id. at 68, 100 S.Ct. 2531 (noting “the established rule that prior trial testimony is admissible upon retrial if the declarant becomes unavailable”); see also Fed.R.Evid. 804(b)(1); La.Code Evid. Ann. art. 804(B)(1). Woodfox, of course, not only had an opportunity to cross-examine Brown in 1973 but he did so, questioning Brown at length about Brown’s version of the events and testing his memory about what he saw. It is well-established that “previously cross-examined prior trial testimony ... has [been] deemed generally immune from subsequent confrontation attack.” Roberts, 448 U.S. at 72-73, 100 S.Ct. 2531; see also Mancusi v. Stubbs, 408 U.S. 204, 213, 92 S.Ct. 2308, 33 L.Ed.2d 293 (1972) (“At least since the decision of this Court in Mattox v. United States, 156 U.S. 237, 15 S.Ct. 337, 39 L.Ed. 409 (1895), prior-recorded testimony has been admissible in appropriate cases.”). The crux of Woodfox’s claim is that the suppression of Warden Henderson’s promises to Brown denied him the opportunity for cross-examination. When asked at oral argument for authority in support of a holding that the possibility Brown lied in 1973 means that his prior testimony could not be used at all in the second trial after Brown was dead, Woodfox’s counsel conceded that he had no authority directly on point and relied on the general principles of cases like Roberts. We must uphold the state court’s decision denying Woodfox’s claim unless it is contrary to federal law as articulated in the clear holdings of the Supreme Court. See Thaler v. Haynes, — U.S. ——, 130 S.Ct. 1171, 1173, — L.Ed.2d-(2010) (“A legal principle is ‘clearly established’ within the meaning of [§ 2254(d)(1)] only when it is embodied in a holding of this court.”); Williams v. Taylor, 529 U.S. 362, 412, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000) (“[A]s the statutory language makes clear ... § 2254(d)(1) restricts the source of clearly established law to this Court’s jurisprudence.”); Moore v. Cockrell, 313 F.3d 880, 881 (5th Cir.2002) (“Clearly established federal law refers to the holdings, as opposed to the dicta, of [the Supreme] Court’s decisions as of the time of the relevant state-court decision.”) (internal quotation and citation omitted). We find no clear answers in the Supreme Court’s jurisprudence, however. The Court has suggested that while generally immune from an attack at a subsequent trial, prior recorded testimony might be challenged