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g4 feels right
The plan is: Kg6, then Nd6-e8-f6. Then play g4. If then Kxh4, Rh8 is mate. If fxg4, Nxe4, and white’s structure falls apart. If Kh2, then g3+. If then Kh3, Kh5 followed by N-h7-g5 mate. Otherwise, breakthrough with h3, creating a protected passed pawn on g3.
1…g4+
2 Kxg4 h3
3 Kxh3 Rb8 followed by Rh8 and Rb8 – Rg8++
Draw offer.
Im thinking Rg8 then push g pawn with check, if takes, N x e pawn then N’s very strong. If dont take should be able to get rook on open file, g or h.
1.Rg8 including g4 would also work.