What if we have a position like this...a rook pawn with a bishop that could control the destination square?

1.Kf2 Kf8 2.Kf3 Kg7 3.h4 Kh7 4.h5 Kg7 5.Be5+ Kg8 6.Kf4 Kh7 7.Kg5 Kg8 8.Kf6 Kh7 9.Bf4 Kg8 10.h6 Kh7 11.Kf7 Kh8 12.Kg6 Kg8 13.h7+
Now, he must give way! Or else...

13...Kf8
[13...Kh8 14.Be5# checkmate! This Bishop that could control the promoting square will deside the issue..]

14.Kf6 Ke8 15.Ke6 Kd8 16.h8Q#
checkmate! Or even a rook will do! 1-0

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