Mate in 5 Exercise 54

White plays and wins in 4 moves https://lichess.org/cf7fDduD

1. h7+ Kf8 2. h8=Q+ Ke7 3. Qf6+ Ke8 4. Qf7#

The analysis board does checkmate in 5 moves

1. h7+ Kg7 2. Rd7+ Kh8 3. Kh6 Rg8 4. hxg8=Q+ Kxg8 5. Rd8#

Source:

This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."