Black plays and wins in 2 moves https://lichess.org/p48bBJVh/black
1... Qd6+ 2. Ke4 Qgf4#
The analysis board does checkmate in 5 moves
1... Qd6+ 2. Ke2 Qg2+ 3. Ke3 Qc5+ 4. Kd3 Qf3+ 5. Kd2 Qce3#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."