Infinite randomized smooth path, though it does make have pointy ends sometimes, much to my dismay. It should be avoidable but... uh, ya; anyway, enjoy.

How it could be improved :

• To reduce pointy ends ↴
  • check if the angle between the two points and the blue point tangent is close to 180, then move the target point accordingly (not the other two as it would break the continuity)
• Have a minimum distance between the points ↴
  • find distance, if too small, move target point away using direction vector

Ressources I found helpful by Freya Holmér :

• The Beauty of Bézier Curves → https://youtu.be/aVwxzDHniEw
• The Continuity of Splines → https://youtu.be/jvPPXbo87dslink