TUYMAADA 2023 J8

Circle $\omega$ lies inside the circle $\Omega$ and touches it internally at point $P$ . Point $S$ is taken on $\omega$ and the tangent to $\omega$ is drawn through it. This tangent meets $\Omega$ at points $A$ and $B$ . Let $I$ be the centre of $\omega$ . Find the locus of circumcentres of triangles $AIB$ .