Google drive: https://drive.google.com/file/d/1fJ0HHAQuxwSLOKyMC-6gk6dqKjliLxJ3/view?usp=sharing
I apologize, I couldn't attach the video.

As you can see in the video, I'm trying to snap a curved line at an angle to the circle. I can't do this because the snap only considers the tangent of the curve, which causes unnecessary intersections between curves.

I originally thought that's how the Tan/Tan snapping was supposed to work.

Is there any way to fix this, or a method that will align the curves on a tangent with one single intersection?