# Always, Sometimes, Never

Level pending

A circle with center $$O$$ passes through the vertices $$A$$ and $$C$$ of a non-degenerate triangle $$ABC$$ and intersects segments $$AB$$ and $$BC$$ again at distinct points $$K$$ and $$N$$, respectively. The circumcircles of triangles ABC and KBN intersects at exactly two distinct points B and M. Is the statement true?

$\angle BMO = 90^{\circ}.$

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