After adding the pickle support we may be able to remove the special deepcopy code.

I added the tests requested by @serhiy-storchaka.

After adding the pickle support we may be able to remove the special deepcopy code.

I propose merging #144967 PR first (once it will be approved), and then rework this PR. See also @serhiy-storchaka's comment on the pickle PR:

If things are pickleable, they should also be deepcopyable. It is worth to have explicit deepcopy tests, because they can preserve additional invariants. For example, it should be possible to deepcopy a frozendict containing lambdas or modules.

We can add more tests in this deepcopy PR.

After adding the pickle support we may be able to remove the special deepcopy code.

I merged main into this branch to retrieve the pickle change. If I remove _deepcopy_frozendict(), test_copy.test_deepcopy_frozendict() fails:

FAIL: test_deepcopy_frozendict (test.test_copy.TestCopy.test_deepcopy_frozendict)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/home/vstinner/python/main/Lib/test/test_copy.py", line 442, in test_deepcopy_frozendict
    self.assertIs(y['foo'][0], y)
    ~~~~~~~~~~~~~^^^^^^^^^^^^^^^^
AssertionError: frozendict({'foo': [frozendict({...})]}) is not frozendict({'foo': [frozendict({'foo': [...]})]})