Reference from private module to other private module is not rendered correctly

[kasium]

I have a method in a private module which references in a type hint another class from another private module.
Both are then reexported in the __init__ file.

autodoc can render the references as expected: Return type: Foo. autoapi however cannot do that: Return type: project._other.Foo

project/__init__

from __future__ import annotations

from project._other import Foo
from project._private import create_foo

__all__ = ["Foo", "create_foo"]

_project/other.py

class Foo:
    """A simple Foo class."""

_project/private.py

from project._other import Foo


def create_foo() -> Foo:
    """Factory function to create a Foo instance."""
    return Foo()

project_docs/conf.py

from __future__ import annotations

project = "Project"
extensions = [
    "sphinx.ext.napoleon",
    "autoapi.extension",
    "sphinx.ext.autodoc",
]
autoapi_dirs = ["../project"]
autoapi_root = "api"
autodoc_typehints = "description"
autoapi_options = [
    "members",
    "undoc-members",
    "show-inheritance",
    "show-module-summary",
    "imported-members",
    "special-members",
]
autoapi_ignore = ["_[^_].*"]
autoapi_add_toctree_entry = False
autoapi_keep_files = True

```

_project_docs/index.rst_
```rst
Project
=======

.. toctree::
   :maxdepth: 2
   :caption: Contents:

   api/project/index

.. automodule:: project
    :members:
```