Black to play - White wins
In Fine's second line 1... Kg8 2.Kg6! (Fine's 2.Ke6? allows Black to hold by keeping White's King out with 2...Kf8! {instead of Fine's 2...Kh7?} for example 3.g6 Kg8! 4.Ke7 Kh8 5.h6 Kg8!=) 2...Kh8 2...Kf8 3.Kh7! +- 3. Kf7 Kh7 4.h6 gxh6 5.g6+! +-
Analysis using computer generated endgame tablebase