4. In an acute-angled triangle $A B C$, the altitudes $A A_{1}, B B_{1}$, and $C C_{1}$ are dropped. A point $T$ is chosen on the plane such that the lines $T A$ and $T B$ are tangents to the circumcircle of triangle $A B C$, and point $O$ is the center of this circle. The perpendicular dropped from point $T$ to the line $A_{1} B_{1}$ intersects the line $C C_{1}$ at point $K$, and the line passing through point $C_{1}$ parallel to $O K$ intersects the segment $C O$ at point $L$. Find the angle $\angle C L A_{1}$.