MathNet 2023-part-01 — 191 problems (EN–VI) Question 46

Let $ABCD$ be a rhombus with $\angle BAD \lt 90^\circ$. The circle passing through $D$ with center $A$ intersects the line $CD$ a second time in point $E$. Let $S$ be the intersection of the lines $BE$ and $AC$.
Prove that the points $A, S, D$ and $E$ lie on a circle.