Fundamentals (part 49)

Oluwaseun Odiase (1768) - Spanton (1888)
Gibraltar U1900 2018

White has just captured on f3 - what should the result be?

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If it were White to move, White would win by shouldering the black king out of the way, eg 56.Ke4 Kf6 57.Kd5 Kf7 58.Ke5 Kg6 59.Ke6 Kg7 60.Kf5 etc. Actually, 56.Ke3 also wins, and in a similar way, eg 56....Kf6 57.Kd4 (but 57.Ke4? Ke6 is a draw) Ke6 58.Ke4 Kf6, which transposes to the previous line.
But Black stops this with:
55...Kf6
55...Kf7 also draws - the point is to meet 56.Ke4 with 56...Ke6.
56.Kf2!?
All moves draw.
56...Ke5 57.Kg3 Kf6 58.Kf3
58.h4 would win only if, after 58...gxh4 59.Kxh4, the white king could get to h6, g6 or f6. For details see: https://beauchess.blogspot.com/2020/02/the-power-of-two-squares.html
58...Ke5 59.Ke3 Kd5 60.h4!? gxh4 61.Kf4 Ke6 62.g5 h3 63.Kg3 ½–½