A way to find the angle at which to emit a ray so that it hits the target. With the source and target known

I wanted to make an AI that makes the decision to shoot a reflecting laser towards the target accurately from it's position, reflecting from a stable, non moving smooth surface like a mirror.

One option is to rotate the ray until it finds the position to hit the mirror so that the laser hits the target after reflection. But I would like to consider more options apart from the apparent brute force method.