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1) Qh5+ should do it. If Kxh5, 2) Bf7+, Kg4, 3) Nf2+, Kf3, and 4) Bh5#
The alternative is even easier. If 1) … Kg7, 2) Qf7+, Kh8, and 3) Qg8#
1. Qh5+!!
a) 1…Kg7, 2. Qf7+ Kh8, 3. Qg8#
b) 1…Kxh5, 2. Bf7+ Kg4, 3. Nf2+ Kf3, 4. Bh5#!