How to get ai to jump/drop from ledge without nav links?

This is a very old question, remained unanswered, How does one have ai run off/jump onto things without navlink?

There is already a solution for this and it works well with some extra effort based on particular needs.

Bump this. I am also not NOT using navmesh since its a 2d platformer. I would like the enemy to be able to traverse ledges that are 64px. Navmesh and that whole system is amazing but is a bit much for what i am doing.