Black plays and wins in 2 moves https://lichess.org/2UBeYk8e/black
1... f2+ 2. Kh1 f1=Q#
The analysis board does checkmate in 5 moves
1... f2+ 2. Kf1 Kf3 3. e4 g4 4. e5 g3 5. e6 g2#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."