Hi, Indeed, as Jared said, this path is very strange.
I have no ...\X-Plane 11\Output\caches\ folder and my Better Pushback is installed here :
Got it from here :
Moreover, I doubt there is any connection between the new libraries and the broken Pushback. For more support, you should contact directly the developer of Better Pushback, as this is a third party addon and this forum is mainly for X-Plane default install.