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Logic Level 3

It is White's move. What must White play in order to mate in 3? Assume that both white and black play optimally.

Q g 7 Qg7 Q g 5 + Qg5+ Q b 7 Qb7 Q d 5 + Qd5+ Q g 6 Qg6 N e 4 + Ne4+

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