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The only idea I can think of is to win white’s h pawn, let white promote his g pawn while keeping his c pawn, then transfer the rook to c2 and protecting his c6 pawn…and I don’t think black could makem any progress. Ex:
1.Rc8+ KxP
2.Rg8 h3
3.c6 Kd6
4.Rg6+ Kc7
5.Kb2 h2
6.Rxp h1(Q)
7.Rc2 and White is O.K
Now that Henry’s done all the heavy lifting, I’ll just chime in with what’s probably obvious to everybody:
3…h2
4.c7 =