overload and contextmanager doesn't work together

Bug Report

contextmanager and overload doesn't seem to be compatbile together

To Reproduce

from contextlib import contextmanager
from typing import overload, ContextManager, Iterator
from uuid import UUID

@overload
def cactus() -> ContextManager[int]:
    ...

@overload
def cactus(_id: str) -> ContextManager[UUID]:
    ...

@contextmanager
def cactus(_id: str | None = None) -> Iterator[UUID] | Iterator[int]:
    if not _id:
        yield 1
    yield UUID(_id)

Expected Behavior

Mypy should find no issue

Actual Behavior

test.py: note: In function "cactus":
test.py:16:2: error: Overloaded function implementation cannot produce return type of signature 1  [misc]
    @contextmanager
     ^
test.py:16:2: error: Overloaded function implementation cannot produce return type of signature 2  [misc]
    @contextmanager
     ^
Found 2 errors in 1 file (checked 1 source file)

Your Environment

• Mypy version used: 1.0.0
• Mypy command-line flags:
• Mypy configuration options from mypy.ini (and other config files):
• Python version used: 3.10.6

Start by reproducing the supplied Python 3.10.6 example with mypy 1.0.0, focusing on the interaction between @overload and @contextmanager. Trace the type-checking path for the overloaded implementation and add a regression test; done means the example produces no errors without regressing related overload checks.