PAMO 2021 Problem 2

Let $\Gamma$ be a circle, $P$ be a point outside it, and $A$ and $B$ the intersection points between $\Gamma$ and the tangents from $P$ to $\Gamma$ . Let $K$ be a point on the line $AB$ , distinct from $A$ and $B$ and let $T$ be the second intersection point of $\Gamma$ and the circumcircle of the triangle $PBK$ .Also, let $P'$ be the reflection of $P$ in point $A$ . Show that $\angle PBT=\angle P'KA$