Remove `Py_BUILD_CORE_MODULE` and `Py_BUILD_CORE_MODULE` in `rotatingtree.c`

[aisk]

Feature or enhancement

Proposal:

Currently, we require Py_Mutex to isolate the states of pseudo random generator in rotatingtree.c, thus the Py_BUILD_CORE_MODULE was introduced in #115301, but we should refrain from using Py_BUILD_CORE_MODULE or Py_BUILD_CORE_BUILTIN to build non-builtin stdlib modules.

Therefore, we should either remove them once Py_Mutex becomes public or explore alternative solutions to address this issue.

Has this already been discussed elsewhere?

Previous discussion: #115301 (comment)

Links to previous discussion of this feature:

No response

Linked PRs

• gh-116181: Remove Py_BUILD_CORE_MODULE and Py_BUILD_CORE_MODULE in rotatingtree.c #121260
• [3.13] gh-116181: Remove Py_BUILD_CORE_BUILTIN and Py_BUILD_CORE_MODULE in rotatingtree.c (GH-121260) #121307

[ericsnowcurrently]

nosy @ericsnowcurrently