Here's White's first move, Gd5+.
Black has two legal moves, Kc8 and Kb8. If White plays Kc8, Black mates with Gxa8. If White plays Kb8, Black mates with Gc6. Here's the final position in the latter case:
Here's Black's first move, Bxg2+: White has one legal move, Kg1. Black then mates with Gh3:
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