KöMaL 2020 A774

Let $O$ be the circumcenter of triangle $ABC$, and $D$ be an arbitrary point on the circumcircle of $ABC$. Let points $X$, $Y$ and $Z$ be the orthogonal projections of point $D$ onto lines $OA$, $OB$ and $OC$, respectively. Prove that the incenter of triangle $XYZ$ is on the Simson-Wallace line of triangle $ABC$ corresponding to point $D$.