White plays and wins in 4 moves https://lichess.org/hIp7T6vw
- Qa5+ Kc6 2. Rb6+ Kc7 3. Qa7+ Kc8 4. Rb8#
The analysis board does checkmate in 5 moves
- Qa5+ Kd6 2. Qb6+ Kd7 3. Rd4+ Kc8 4. Rd8+ Rxd8 5. exd8=Q#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."