White plays and wins in 4 moves https://lichess.org/ZdMhvMIu
- f7+ Kf8 2. Rd8+ Ke7 3. f8=Q+ Ke6 4. Qf6#
The analysis board does checkmate in 5 moves
- f7+ Ke7 2. Rd7+ Ke6 3. f8=Q Rg5+ 4. Kxg5 Ke5 5.Qf5#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."