When you can afford it, just move out. You don’t need a permission to move out.
They don’t seem to want to talk. Maybe it’s time to keep communication to a minimum. Is there a specific topic you want to discuss? If it’s about moving out, there’s really nothing to discuss. When you are ready to move, just tell them you are moving.
I feel for you wanting that connection but they seem to keep distance for whatever reason. Not much you can do about it

Parents often are a mess