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1. Rf5 (threat: Qxh6+ followed by Rh5++)
1…exf5
2 Nxf5 and mate starting with Qxh6+ is unpreventable.
I also think 1. Rf5 must be the correct move. I can’t find any good defence.
I saw this in a few seconds, the most complex line is just a few moves deep. Where’s the precise calculation that is required?