White plays and wins in 5 moves https://lichess.org/DKv092by
- Rg1 Bg2 2. Rxg2+ Kh3 3. Rg1 Kh2 4. Rf1 Kh3 5. Rh1#
The analysis board does a very similar checkmate in 5 moves
- Rg1 Bg2 2. Rxg2+ Kh1 3. Rg1+ Kh2 4. Ra1 Kh3 5. Rh1#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."