I'm really curious to see how Black reacts to the h pawn marching up the file. After promoting to a Q and sitting on a8, the White K extracts himself. If allowed, the new Q can mop up pawns.
what if the black king instead of going to a1 goes to c1 and keeps threatening to either promote, swap your queen for a pawn or get a draw through repetition.
what if the black king instead of going to a1 goes to c1 and keeps threatening to either promote, swap your queen for a pawn or get a draw through repetition.
Spoiler:
I must be missing something, but why can't you win from there with Qa4, Qb4, Qa3, Kd1, Qc1?
Now white always promotes to N then sacs, saving position from stalemate until he promotes Nc6 bc, b7 c5, Kd1 Kb2, b8=Q. Then white manoeuvres b8-a7-b7-a6 and takes c4 and wins (black goes a1-b2 with his K).