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How about 1. Bh7+? If 1…KxB, 2. Qg6+ and mate next move. If 1…Kh8 then 2. Qh6 and mate next move or black gives up his queen.
1.Lh7+! wins for white. Taking the bishop 1…Kxh7 loses to 2. Qg6+ and 3.Qxg7# whereas 1…Kh8 2.Rf8+ only prolongs the game one move.
Beelze
1. Bh7+ Kh8 (1.. Kxh7 2. Qg6+)
2. Rf8+ Kxh7
3. Qg6 #
Bh7+ Kxh7 Qg6+
I would do Qg6.