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Nc6 with the threat of Rxf5 mate looks good
1. Nc6 threatens R:f5#, which is very difficult to meet. The Bg6 is pinned, the K has no flight square, and moving either rook has no effect. So, Black must play 1…Q:c6 2. dc and White’s attack still rages.
I would cut off the king’s escape with Nc6. This threatens Rf5#, and black must find a way to prevent this- I see only one option other than exchanging the queen for the c6 knight.
1. Nc6 e4
2. Rf5!! Kf5
3. Qf4#
One other variation after 1. Nc6.
1. Nc6 e4 2. R:f5+ K:f5 3. Qf4#
Bxf5 followed by Qg5 or Nc6 is fatal for Black. No adequate defence to this in between move.
Rf5+ leads to victory for white no matter what black response is
Qg5+ Kg7
Rh6 Rf6
Bxf5
Nc6 is the best I think. It creates a mating threat by the rook, and forces the queen to sac herself. The rest is not easy but white should win withuot the black queen on.
1.Nc6 e4 2.Rxf5+