async def METHOD_NAME(
    with_initial_bookmarks, consumer_async, mocker
) -> None:
    if with_initial_bookmarks:
        initial_bookmarks = ["db1:bm1", "db1:bm2"]
    else:
        initial_bookmarks = None
    mock_cls = mocker.AsyncMock if consumer_async else mocker.Mock
    consumer = mock_cls()
    bmm = bookmark_manager(
        initial_bookmarks=initial_bookmarks,
        bookmarks_consumer=consumer
    )
    await bmm.update_bookmarks(["db1:bm1"], [])
    consumer.assert_not_called()