Using PR #30744, the effect of this PR is quite clear on the total reference count after Py_Finalize():

• Before (main branch): [10120 refs, 3740 blocks]
• After (this PR): [4801 refs, 1926 blocks]

This PR removes 5319 references. With the PR, there are 2.1x less references leaked after Py_Finalize()!

_PyTypes_FiniTypes() is tested (indirectly) by multiple test_embed tests which use many of the cleared types after Py_Finalize().

⚠️⚠️⚠️ Buildbot failure ⚠️⚠️⚠️

Hi! The buildbot s390x Debian 3.x has failed when building commit 595225e.

What do you need to do:

1. Don't panic.
2. Check the buildbot page in the devguide if you don't know what the buildbots are or how they work.
3. Go to the page of the buildbot that failed (https://buildbot.python.org/all/#builders/49/builds/1789) and take a look at the build logs.
4. Check if the failure is related to this commit (595225e) or if it is a false positive.
5. If the failure is related to this commit, please, reflect that on the issue and make a new Pull Request with a fix.

You can take a look at the buildbot page here:

https://buildbot.python.org/all/#builders/49/builds/1789

Failed tests:

• test_unittest

Summary of the results of the build (if available):

==

Traceback (most recent call last):
  File "/home/dje/cpython-buildarea/3.x.edelsohn-debian-z/build/Lib/multiprocessing/resource_tracker.py", line 209, in main
    cache[rtype].remove(name)
    ^^^^^^^^^^^^^^^^^^^^^^^^^
KeyError: '/psm_b32ae02e'


Traceback (most recent call last):
  File "/home/dje/cpython-buildarea/3.x.edelsohn-debian-z/build/Lib/multiprocessing/resource_tracker.py", line 209, in main
    cache[rtype].remove(name)
    ^^^^^^^^^^^^^^^^^^^^^^^^^
KeyError: '/psm_bb4f5e76'