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Why not knight e3 first. White has to take it with the pawn or itโ€™s mate next turn, then queen g2 mate?

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3 points

Because white doesnโ€™t have to take the knight first. White can trade queens there, and then the knight is lost on the next move.

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2 points

Right, thanks.

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1 point
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Also, g2 would be defended by the white queen after the f pawn takes the knight

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