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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