BD-BDMO 2019 Problem 7

Given three cocentric circles $\omega_1$ , $\omega_2$ , $\omega_3$ with radius $r_1,r_2,r_3$ such that $r_1+r_3\geq {2r_2}$ .Constrat a line that intersects $\omega_1$ , $\omega_2$ , $\omega_3$ at $A,B,C$ respectively such that $AB=BC$ .