White to Play - Win (instead of Fine's Draw)

1.h3 instead of Fine's 1.g4? White intends to recapture with the h-pawn after pushing g4 so that Black does not get a passed e-pawn as he does in Fine's line. The White king then cleans up the kingside since the Black king has to defend against the threat of b5. If Black tries to stop this plan with 1...h5 then White has a breakthrough 2.h4 Kb6 3.g4 fxg4 4.fxg4 hxg4 5.h5 and Black can't stop the h-pawn

Uncorrected as Position 166 in the Benko edition