Solution
1.K1h 2.+Px4h 3.P*4c. Black wins
1.+P7c and 1.G4c aren’t mate threats, so white will reply with 2.+Px4h threatening mate and white wins. Black needs 2 moves to threaten mate. 1. K3i to prevent +Px4h doesn’t work because of 2.R9i+ 3.K2h 4.+R5i.