BxMO Team Selection Test

Let $ABCD$ be a cyclic quadrilateral with $|AB|=|BC|$. Point $E$ lies on the arc $CD$ which does not contain $A$ and $B$. The intersection of $BE$ and $CD$ is denoted by $P$, the intersection of $AE$ and $BD$ is denoted by $Q$. Prove that $PQ\parallel AC$.