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Bf1!
Ah, clever.
1. Bf1 pxB=Q
2. Re8+ Kf6
3. Rf8+ Ke7
4. Rxf1
The rook covers h1, so game over
I think Sherlock Holmes has the right mindset for solving this one: “When you have eliminated the impossible, whatever is left, no matter how improbable, must be the truth.”