MathNet 2023-part-01 — 191 problems (EN–VI) Question 36

Let $ABC$ be a triangle, and $O$ its circumcenter. The circumcircle of triangle $AOC$ shall intersect the segment $BC$ in points $C$ and $D$ and the segment $AB$ in points $A$ and $E$.
Prove that triangles $BDE$ and $AOC$ have equal circumradii.