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It has to be 1. f5 gxf5 (note that 1. … hxg4?? loses for black – 2. fxg6 Ra8 3. Nd5+ Kb7 4. c6+ and king has to block the 8 rank…)
2. gxh5 and now white has enough counterplay to get rid of the last black pawn. E.g. 2. … Rh3 3. Nd5+ Kb8 or d8 (other moves gives white even more tempi) 4. Kc6 and now black does not have a way to effectively stop whites plan 5. Kd6, 6. Ke5 with grabbing the last black pawn because after 5. Kd6 he has to worry mainly about the c6-c7 threat…
1. Nd5 was the move in my mind. But I think yours 1. f5 is brilliant the more I think of it. You are strong. That was a cool shot.