IZhO 2020 Problem 4

In a scalene triangle $ABC$ $I$ is the incentr and $CN$ is the bisector of angle $C$ . The line $CN$ meets the circumcircle of $ABC$ again at $M$ . The line $l$ is parallel to $AB$ and touches the incircle of $ABC$ . The point $R$ on $l$ is such. That $CI \bot IR$ . The circumcircle of $MNR$ meets the line $IR$ again at S. Prpve that $AS=BS$ .