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this one is easy as crap! Nxg6 Kxg6 Rg3+ Kf7 Qh5+ Ke7 Rg7+ Kd8 RxQ!
h5
Not sure, I cannot see a tactic. I would play h5 in order to play the night to f6, no, I would wish that, I would play Rc3
1.Nxg6 Kxg6
2.Rg3+ wins
Nxg6 looks stron to me.
Beelze
Ng6 looks visually interesting.
1. Ng6 Kg6
2. Rg3 Kf7
3. Qh5 and black’s options are all pretty bad,
3. …..Ke7
4. Rg7 drops the queen
3. …..Kf8
4. Bh6 Rh6
5. Qh6 Ke8
6. Rg8 Kd7
7. Qg7 Ne7
8. Ra8 Nb8
9. h5 and white should win easily.
Also, in this main line
1. Ng6 Kg6
2. Rg3 Kh7
3. Qh5 looks overpowering since there is no protection for the h6 pawn. The best black can do is give up the queen for the rook.
Declining the offered knight seems to be of little comfort:
1. Ng6 Rhg8
2. h5 and black will lose another pawn.
1. N:g6 because if …K:g6 2. Rg3+ Kf7 (2….Kh7 3.Qh5 threatens Q:h6#) 3. Qh5+ Kf8 (3…. Kd7 4. Rg7+ with the Q) 4. B:h6+ R:h6 5. Q:h6+ Ke8 6. Rg8+ Kd7 7. Rg7+ still wins the Q.