White to move!
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With Black to move I think 1. f6 g6 2. Rf7 gxf7 3. Qxf7 is possible and White is only the exchange up.
I mean 1. … f6 2. g6 Rf7 3. gxf7 Qxf7
No, I didn’t see that the g pawn is pinned against the threat of Qxg2# in the line 1. … f6 2. g6 Qg8 3. Rh3 Rf7 and Black looks to be winning now.
1. f6 Nxf6
2. gxf6 Rg8
3. Qxh7+ Kxh7
4. Rh3+ Kg6
5. Rh6#