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Puzzle 66560?

Hello! Is the above mentioned puzzle and it's solution right? If is, how come? Any ideas?
If you want to play a higher level of chess you need to be precise.
What line should lead to mate for white?
Any King move leads to mate, so you have to block with queen.
Rxf4+ was check, white can't just play Rd8+ Rf8 Rxf8# without first dealing with it.
You can just play that move Kxf4 and see what stockfish will recommend. Eg. g5+
Ok, it seems it's ok. In the end black is at least pawn up, so it's good enough!
At least a pawn? -5.2 after Kxf4 and it only gets worse for White

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