Mate in 5 Exercise 27

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