Mate in 5 Exercise 1
(Edited)
From the "Chess Akt" book "500 chess puzzles". See the game at https://lichess.org/lssOWSHm
Subtitle: Mate in 5. Advanced & Expert Level.
Playing against computer, checkmate in 4 instead of 5?

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The analysis game do the checkmate in 5, getting rid of the tower first.