Endgame Puzzle - The Pawn Chain Nuclear Explosion

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Congruity

Endgames like this in blitz settings with a minute left per side absolutely disturb me. I was playing the white pieces here, and black has the move. I thought I'd blundered, but maybe not. What is Black's best move? Who is winning?

Congruity

Initially in reviewing this game, I thought Black's better move might have been to push the e pawn to e5. It seemed like a devastating move.

Congruity

However, white responds simply with fxe5.

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