First of all, thank you! Secondly, I don't have physics paper in hand how to implement this, but there must be one somewhere. I will try to search for one.
If I make a shot from a high angle with side spin it should curve the ball.
Edit I also noticed that there is no way to choose the angle of the stick, so it is probably intentional. It is always perpendicular to the table I think.
I also notice that often the cue is left spinning with a side spin almost motionless, suggesting there is no spin friction between the balls and the cloth, which would make the ball to curve.
Here is the motionless spin example: https://scoreboard-tailuge.vercel.app/api/replay/92 it might still be within the physics but it feels implausible.
(I notice that physics calculation curves the ball only when it hits an cushion or other ball, not during its motion.)