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1) Qg6+ wins quickly. If … fxg6, 2) hxg6+ and with the pawn securing the f7 and h7 escape squares, 3) Rb8+ and 4) Rxb8#.
The Black King can try 1) … Kg8 or 1) … Kh8, but the result comes even more quickly, with 2) Rb8+, Rxb8, and 3) Rxb8+.
Took me about 30 seconds to even realize white had rooks doubled on the b-file, but when I did, 1.Qg6 popped immediately into my head.