My take: If the official "announced" (using a broad definition of the word) that the first FT was for the T, then it was for the T and it's not correctable -- continue with the FT for the second T, then those for the foul. If the official "announced" that it was for the blocking foul, then it was for the blocking foul, and is a correctible error. If the official made no "annoncement", then I think you have to go with "intent" -- and here it seems both the official and the player understood that the T was being shot.
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