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1. Nf6+ gxf6 (if Kf8, 2. Qh8#)
2. Rg5+ fxg5
3. Qh8#
1. Nf6+ gxf6
2. Rg5+ fxg5
3. Qh8#
or
1. Nf6+ gxf6
2. Rg5+ Kf8
3. Qh8#
Have a look at:
1, Nf8 it has some exciting possibilities, like …..if Kxf8
2. Qh8 mate or if …..Rxf8, B, Q, and R provide an elegant mate.
Looking at the most forcing moves for both sides first is good for finding useful tactics and often doesn’t take much time because of the relatively forcing nature of the moves. If it does take too much time in a game and your position isn’t desperate you can limit how deep you look, but here White’s attack has to work and work quickly.
1.Ng5 isn’t too bad if you’re running out of time but Black can draw with rook checks.