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1. Rg7 (threat Rh7#) Bxf6 2. Qxf6 Rf8 3. Rf7+Kg8 4. Qg7#
1. Rg7 (threat Rh7#) Bd8 2. Rxa7 Re7 3. Rxe7 Bxe7 4. Qg7#
Unfortunately, then 1…Qxe4 and Black is winning! Therefore, 1.h7 wins.
1. h7 was my first choice, but it got messy. I missed the Bxg5 is check.