Importing AppIndicator3 and AyatanaAppIndicator3 from gi.repository gives errors in Python 3.9 and 3.10 (works in 3.8)

In Ubuntu 20.04...

Python 3.8, 3.9 and 3.10 built from source without errors or make test failures.

pip install PyGObject done in each respective venv.

With Python 3.8:

$ python
Python 3.8.12 (default, Mar  3 2022, 04:28:02)
[GCC 9.3.0] on linux
>>> import gi
>>> gi.require_version('AyatanaAppIndicator3', '0.1')
>>> from gi.repository import AyatanaAppIndicator3
>>> AyatanaAppIndicator3
<IntrospectionModule 'AyatanaAppIndicator3' from '/usr/lib/x86_64-linux-gnu/girepository-1.0/AyatanaAppIndicator3-0.1.typelib'>
>>>
>>> gi.require_version('AppIndicator3', '0.1')
>>> from gi.repository import AppIndicator3
>>> AppIndicator3
<IntrospectionModule 'AppIndicator3' from '/usr/lib/girepository-1.0/AppIndicator3-0.1.typelib'>
>>>

With Python 3.10 (same in Python 3.9):

$ python
Python 3.10.2 (main, Mar  3 2022, 03:40:42) [GCC 9.3.0] on linux
>>> import gi
>>> gi.require_version('AyatanaAppIndicator3', '0.1')
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/path/to/venv10/lib/python3.10/site-packages/gi/__init__.py", line 126, in require_version
    raise ValueError('Namespace %s not available' % namespace)
ValueError: Namespace AyatanaAppIndicator3 not available
>>> from gi.repository import AyatanaAppIndicator3
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/path/to/venv10/lib/python3.10/site-packages/gi/importer.py", line 131, in load_module
    raise ImportError('cannot import name %s, '
ImportError: cannot import name AyatanaAppIndicator3, introspection typelib not found
>>>
>>> gi.require_version('AppIndicator3', '0.1')
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/path/to/venv10/lib/python3.10/site-packages/gi/__init__.py", line 126, in require_version
    raise ValueError('Namespace %s not available' % namespace)
ValueError: Namespace AppIndicator3 not available
>>> from gi.repository import AppIndicator3
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/path/to/venv10/lib/python3.10/site-packages/gi/importer.py", line 131, in load_module
    raise ImportError('cannot import name %s, '
ImportError: cannot import name AppIndicator3, introspection typelib not found
>>>

What changed after Python 3.8 to cause this? How can I get this to work in Python 3.9 and 3.10?