You guys got it right, but the board was wrong. Trying to correct it, but the result is the same.
Be5! after f4xe5 then Qxg5 and after e6 Qh6
Be5!
????????
Black's position is still hideous.
True. I don't think it was quite that bad in the real game, but for the purposes of this puzzle, this illustrated the overworked piece (pawn) well enough.
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You guys got it right, but the board was wrong. Trying to correct it, but the result is the same.