gh-59956: Clarify GILState-related Code (gh-101161)

The objective of this change is to help make the GILState-related code easier to understand.  This mostly involves moving code around and some semantically equivalent refactors.  However, there are a also a small number of slight changes in structure and behavior:

* tstate_current is moved out of _PyRuntimeState.gilstate
* autoTSSkey is moved out of _PyRuntimeState.gilstate
* autoTSSkey is initialized earlier
* autoTSSkey is re-initialized (after fork) earlier

https://github.com/python/cpython/issues/59956