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If the black queen instead takes the bishop on a2 that doesn't help:

Rxe7, Qxa2
Kxg5, Rxc7
Q-e4 checkmate

But if the black rook simply takes mine on e7, then I am back to square one, but down a rook

Right:

  1. Re7 Rxe7
    and black - again - wins. :)

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