If the black king goes and captures my rook I can capture theirs an get a queen.
If the black king moves their rook to safety, I can move mine back too, saving it. The pawn and bishop are mutually protecting each other, so no need to worry about king capturing them. Don’t know where to go from here.
If the black king decides to move his pawn up to f6 well… free rook I guess? I’ll just capture his rook with my pawn at g7 and upgrade to queen, he will then be forced to capture her, leaving the black king at f8, his pawn at f6 and my two pieces safe. Though I’m not sure it is possible to do a check-mate with just your king, a rook and a bishop.
pawn to g7
If the black king goes and captures my rook I can capture theirs an get a queen.
If the black king moves their rook to safety, I can move mine back too, saving it. The pawn and bishop are mutually protecting each other, so no need to worry about king capturing them. Don’t know where to go from here.
If the black king decides to move his pawn up to f6 well… free rook I guess? I’ll just capture his rook with my pawn at g7 and upgrade to queen, he will then be forced to capture her, leaving the black king at f8, his pawn at f6 and my two pieces safe. Though I’m not sure it is possible to do a check-mate with just your king, a rook and a bishop.
It’s possible to checkmate with K + R only, so that would be a yes.
There’s your problem: how would you go about winning that position?