DeletedUser88 Can the libraries make network connections by themselves if the app is granted network permissions?
Yes. If the app makes a call into a library contained in it, the library code operates with the authority of the app, so if the app can make network connections then the library can.
DeletedUser88 Can the libraries between apps communicate with each other?
Yes.
Without reading the source code, it's hard to say, but if a library sounds like it's designed to share your actions or identity with some Google service, it may well be.