NL-BXMO-TST 2021 Problem 1

Given is a cyclic quadrilateral $ABCD$ with $|AB| = |BC|$ . Point $E$ is on the arc $CD$ where $A$ and $B$ are not on. Let $P$ be the intersection point of $BE$ and $CD$ , let $Q$ be the intersection point of $AE$ and $BD$ . Prove that $PQ \parallel AC$ .