NL-BXMO-TST 2022 Problem 2

Let $ABC$ be an acute triangle, and let $D$ be the foot of the altitude from $A$ . The circle with centre $A$ passing through $D$ intersects the circumcircle of triangle $ABC$ in $X$ and $Y$ , in such a way that the order of the points on this circumcircle is: $A, X, B, C, Y$ . Show that $\angle BXD = \angle CYD$ .