`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

Beginne mit contextlib.py, insbesondere mit dem im Traceback gezeigten Exit-Pfad von contextmanager, und reproduziere den Fehler mit dem bereitgestellten Beispiel einer eingefrorenen Dataclass-Ausnahme unter Python 3.11. Als erledigt gilt die Aufgabe, wenn die Ausnahme über den Context Manager behandelt werden kann, ohne FrozenInstanceError auszulösen, und dabei das erwartete Verhalten von Python 3.10 erhalten bleibt.