Black plays and wins in 4 moves https://lichess.org/ncCa3SCx/black
1... Rg8 2. Re2 Kxe2 3. Kh2 Kf3 4. Kh1 Rh8#
The analysis board does checkmate in 5 moves
1... Rd8 2. Rb2 Rd1+ 3. Kh2 Bf4+ 4. Kh3 Rh1+ 5. Rh2 Rxh2#
Source:
https://www.amazon.com/Chess-Puzzles-Advanced-Expert-Level/dp/B0917YQZP1