On my Windows 10, after fresh repository update and debug build, 3.10 sqlite3 tests do not run.
(3.11 and 3.12 are fine.) In 3.10, test_sqlite/ only contains test_dbapi.py

python -m test test_sqlite3 is OK after no tests run. (I though we made this an error.)
python -m test.test_sqlite3 fails because test_sqlite3/ is missing __main__.py, as well as __init__.py

In 3.11, test_sqlite3.__main__.py is

from test.test_sqlite3 import load_tests  # Needed for the "load tests" protocol.
import unittest

if __name__ == "__main__":
    unittest.main()

The comment seems not needed. The other 3.10 test.test_x directories all run and have variations of this. Some have from . import load_tests. Some have unittest.main('test.test_x') instead of a load_tests import. Most omit the redundant if-clause.

After adding __main__.py, tests still do not run because __init__.py is needed. I may try to do a PR tomorrow.