I would start with Rc3 to block the dangerous potential a1h8-diagonal, also it prevents fxe3 ...
These are actually great ideas which indeed play an important role in this position, but does it work this exact way?!
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OK, ...Rc3, Be5+ Kg8, Nd7+ Kf8, Ng6+ Bxg6, Bd6+ Kg8 and I think mate is unavoidable, either in 2 after g3 or in 3 after B back to h2 (with g3 the only way to postpone the mate by one move)
That's absolutely correct, however, the best white move after 1. ... Rc3 is amazingly 2. Bf5! (idea: Bh3; and in some critical variations the white queen protects the knight on e1 if the bishop b1 has moved away).
So can you win after: