BG-MO 2021 Problem 2

A point $T$ is given on the altitude through point $C$ in the acute triangle $ABC$ with circumcenter $O$ , such that $\measuredangle TBA=\measuredangle ACB$ . If the line $CO$ intersects side $AB$ at point $K$ , prove that the perpendicular bisector of $AB$ , the altitude through $A$ and the segment $KT$ are concurrent.