geometry - The circumcircles of the triangles $OAD$, $OBE$ & $OCF$ has another common point beside $O$!

Given a convex hexagon $ABCDEF$ circumscribing a circle $(O)$. Assume that $O$ is the circumcenter of the triangle $ACE$.

I see that the circumcircles of the triangles $OAD$, $OBE$ & $OCF$ has another common point beside $O$. But I can't know this point is, and how to prove the problem I see. Please help my 1st post! Thanks!