threading.Thread fails to pickle in python > 3.13.0a5 about dill HOT 4 OPEN

$ gh repo clone uqfoundation/dill
$ cd dill
$ python3.13 -V
Python 3.13.0b1
$ tox -e py313
.pkg: _optional_hooks> python /usr/lib/python3.12/site-packages/pyproject_api/_backend.py True setuptools.build_meta
.pkg: get_requires_for_build_sdist> python /usr/lib/python3.12/site-packages/pyproject_api/_backend.py True setuptools.build_meta
.pkg: get_requires_for_build_wheel> python /usr/lib/python3.12/site-packages/pyproject_api/_backend.py True setuptools.build_meta
.pkg: prepare_metadata_for_build_wheel> python /usr/lib/python3.12/site-packages/pyproject_api/_backend.py True setuptools.build_meta
.pkg: build_sdist> python /usr/lib/python3.12/site-packages/pyproject_api/_backend.py True setuptools.build_meta
py313: install_package> python -I -m pip install --force-reinstall --no-deps /home/ben/src/forks/dill/.tox/.tmp/package/2/dill-0.3.9.dev0.tar.gz
py313: commands[0]> .tox/py313/bin/python -m pip install .
Processing /home/ben/src/forks/dill
  Installing build dependencies ... done
  Getting requirements to build wheel ... done
  Installing backend dependencies ... done
  Preparing metadata (pyproject.toml) ... done
Building wheels for collected packages: dill
  Building wheel for dill (pyproject.toml) ... done
  Created wheel for dill: filename=dill-0.3.9.dev0-py3-none-any.whl size=116162 sha256=86a3739b5a701f9aefd7840a31f695eefa0e8408a55028bfe497423a5d87d061
  Stored in directory: /tmp/pip-ephem-wheel-cache-sukup0uc/wheels/4b/69/4e/74fd16e96eb0e05af8c484f673696525e999353b5fec3ad50d
Successfully built dill
Installing collected packages: dill
  Attempting uninstall: dill
    Found existing installation: dill 0.3.9.dev0
    Uninstalling dill-0.3.9.dev0:
      Successfully uninstalled dill-0.3.9.dev0
Successfully installed dill-0.3.9.dev0
py313: commands[1]> .tox/py313/bin/python dill/tests/__main__.py
.<function <lambda> at 0x7fecfbe8be20>
<function <lambda> at 0x7f937fe8be20>
<function <lambda> at 0x7fed0408be20>
<function <lambda> at 0x7fbd8328be20>
<function <lambda> at 0x7f2a7ea8be20>
Traceback (most recent call last):
  File "/home/ben/src/forks/dill/dill/tests/test_detect.py", line 154, in <module>
    test_bad_things()
    ~~~~~~~~~~~~~~~^^
  File "/home/ben/src/forks/dill/dill/tests/test_detect.py", line 32, in test_bad_things
    assert len(s) is len(a) # TypeError (and possibly PicklingError)
           ^^^^^^^^^^^^^^^^
AssertionError
...F.......................
py313: exit 1 (1.79 seconds) /home/ben/src/forks/dill> .tox/py313/bin/python dill/tests/__main__.py pid=182079
  py313: FAIL code 1 (6.48=setup[2.72]+cmd[1.97,1.79] seconds)
  evaluation failed :( (6.53 seconds)

{('TypeError', "cannot pickle 'frame' object"), ('TypeError', "cannot pickle 'FrameLocalsProxy' object")}

{'TypeError': "cannot pickle 'FrameLocalsProxy' object"}