Black plays and wins in 5 moves https://lichess.org/QfMFLy36/black
1... e1=Q+ 2. Kc2 Qe2+ 3. Kc3 Rc4+ 4. Kb3 Qc2+ 5. Ka3 Ra4#
The analysis board does checkmate with similar moves in 5 moves
1...e1=Q+ 2. Kc2 Rc4+ 3. Kb2 Qc1+ 4. Kb3 Qc2+ 5. Ka3 Ra4#
Source:
This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."