`contextlib.contextmanager` raises `dataclasses.FrozenInstanceError` when handling a frozen dataclass exception

Bug report

In Python 3.11, raising a frozen dataclass as an exception inside a contextlib.contextmanager context will raise a dataclasses.FrozenInstanceError exception. This issue does not occur in Python 3.10.

This is a result of the changes made in https://github.com/python/cpython/pull/92202

Reproducer

import contextlib
import dataclasses


@dataclasses.dataclass(frozen=True)
class Notice(Exception):
    pass


@contextlib.contextmanager
def demo():
    yield


try:
    with demo():
        raise Notice()
except Notice:
    pass

Expected Result

$ python3.10 ./repro.py

Actual Result

$ python3.11 ./repro.py 
Traceback (most recent call last):
  File "/usr/lib/python3.11/contextlib.py", line 155, in __exit__
    self.gen.throw(typ, value, traceback)
  File "/home/mclay/code/mattclay/contextlib-repro/./repro.py", line 12, in demo
    yield
  File "/home/mclay/code/mattclay/contextlib-repro/./repro.py", line 17, in <module>
    raise Notice()
Notice

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
  File "/home/mclay/code/mattclay/contextlib-repro/./repro.py", line 16, in <module>
    with demo():
  File "/usr/lib/python3.11/contextlib.py", line 188, in __exit__
    exc.__traceback__ = traceback
    ^^^^^^^^^^^^^^^^^
  File "<string>", line 4, in __setattr__
dataclasses.FrozenInstanceError: cannot assign to field '__traceback__'

Your environment

$ python3.10 -V
Python 3.10.6
$ python3.11 -V
Python 3.11.0
$ source /etc/os-release; echo $PRETTY_NAME
Ubuntu 22.04.1 LTS
$ uname -a
Linux redstone 5.11.0-27-generic #29~20.04.1-Ubuntu SMP Wed Aug 11 15:58:17 UTC 2021 x86_64 x86_64 x86_64 GNU/Linux

Empieza por contextlib.py, especialmente por la ruta de salida de contextmanager mostrada en el traceback, y reproduce el fallo con el ejemplo proporcionado de una excepción de dataclass congelada en Python 3.11. Se considera terminado cuando la excepción se puede gestionar mediante el context manager sin generar FrozenInstanceError, conservando al mismo tiempo el comportamiento esperado mostrado por Python 3.10.