The simplest solution would be to always path find from the stationary anchor and then use string pulling to get the path for the player to follow. That will always get the path that results in the least tension on the rope.

The simplest solution would be to always path find from the stationary anchor and then append that path to the rope from the player to the anchor and use string pulling to get the path for the player to follow. 

That will always get the path that results in the least tension on the rope.