mypy incorrectly reports incompatible return types for overloaded methods

Bug Report

@overload
def foo(cls: type[dict], mapping: SupportsKeysAndGetItem[K, V], /) -> dict[K, V]: ...
@overload
def foo(cls: type[dict], mapping: SupportsKeysAndGetItem[str, V], /, **kwargs: V) -> dict[str, V]: ...

Return types are compatible.

class FrozendictBase(Generic[K, V]):
    @overload
    def __new__(
            cls,
            mapping: SupportsKeysAndGetItem[K, V],
            /,
            ) -> 'FrozendictBase[K, V]': ...

    @overload
    def __new__(
            cls,
            mapping: SupportsKeysAndGetItem[str, V],
            /,
            **kwargs: V,
            ) -> 'FrozendictBase[str, V]': ...

Return types are also compatible, but mypy reports an error.

To Reproduce

1. Download file.txt and save as sandbox.py.
2. Run mypy sandbox.py.

Expected Behavior

sandbox.py:8: error: Invariant type variable "V" used in protocol where covariant one is expected

This is due to #5775.

Actual Behavior

sandbox.py:8: error: Invariant type variable "V" used in protocol where covariant one is expected
sandbox.py:39: error: Overloaded function signatures 3 and 4 overlap with incompatible return types
sandbox.py:54: error: Overloaded function signatures 5 and 6 overlap with incompatible return types

Your Environment

• Mypy version used: mypy 0.950
• Mypy command-line flags:
• Mypy configuration options from mypy.ini (and other config files):
• Python version used: Python 3.10.4
• Operating system and version: Windows 10

Download the linked file and save it as sandbox.py, then run mypy sandbox.py to reproduce the overload diagnostics. Investigate the incompatible return-type reports for overloaded signatures 3/4 and 5/6; done means those reports no longer appear while the expected invariant-type-variable error remains.