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It looks to me as if I should move my knight to f5, attacking the d6 Bishop. Then, if the Bishop moves away, Qg3+ and bye bye f7 Rook!
Even if White defends the Bishop, it still works!
!BBH

Correct. :)

Either Nf5 or Ne4 works.

Black pawn can take a white pawn, only to be taken by the white king.

Sorry, not quite. Try again :)