Black plays and wins in 3 moves https://lichess.org/avCiOrbX/black
1... Qf4+ 2. Kb5 Qb4+ 3. Ka6 Qb6#
The analysis board does checkmate in 5 moves
1... Qf4+ 2. Kb5 Qb4+ 3. Kc6 Qb6+ 4. Kd7 Qd6+ 5. Ke8 Qe7#
Same first steps ;)
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."