White plays and wins in 2 moves https://lichess.org/5D4QCLPp
- Kxf6 Rg2 2. h8=Q#
The analysis board does checkmate in 5 moves
- Kxf6 Rxg7 2. h8=Q+ Rg8 3. Qh7 Rg7 4. Qxg7+ Ke8 5. Qe7#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."