Black plays and wins in 3 moves https://lichess.org/QnfjKUt6/black
1... Nh4+ 2. Kh2 Qd2+ 3. Kg1 Qg2#
The analysis board does a very similar checkmate in 5 moves
1... Nh4+ 2. Kf2 Qd2+ 3. Kf1 Qg2+ 4. Ke1 Nf3+ 5. Kd1 Qd2#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."