White to move. How should white proceed?
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Anperovi, good catch!
In the present position is impossible to be white to move since there is no possible last black move.
Yes, the pawn can hinder black's escape from the corner on both h6 and h5. From the given position, take away the pawn, the position is a theoretical draw- the one knight can't both prevent the escape down the h-file and move to force the king back into the corner. For what it is worth, 1.Nh5 isn't the only winning move, but it is definitely the shortest win.
Nh5 h6, Nb3 Kh7, Nc5 Kh8, Nd7 Kh7, Nf8+ Kh8, Ng6+ Kh7, Nf6#