[Flaky test] `xmodule/partitions/tests/test_partitions.py::TestPartitionService::test_get_user_group_id_for_partition`

[timmc-edx]

This test fails intermittently and has been deleted according to the Flaky Test Process in #35545.

See docs on how to address flaky tests for why this should be fixed and how to go about it.

• Failing CI run: https://github.com/openedx/edx-platform/actions/runs/11038973818/job/30663409464
• Subsequent Passing CI run: https://github.com/openedx/edx-platform/actions/runs/11038973818/job/30667857626

Related: #35641

__________ TestPartitionService.test_get_user_group_id_for_partition ___________

self = <xmodule.partitions.tests.test_partitions.TestPartitionService testMethod=test_get_user_group_id_for_partition>

    def test_get_user_group_id_for_partition(self):
        # assign the first group to be returned
        user_partition_id = self.user_partition.id
        groups = self.user_partition.groups
        self.user_partition.scheme.current_group = groups[0]
    
        # get a group assigned to the user
        group1_id = self.partition_service.get_user_group_id_for_partition(self.user, user_partition_id)
>       assert group1_id == groups[0].id
E       AssertionError: assert 1 == 0
E        +  where 0 = Group(id=0, name='Group 1').id

xmodule/partitions/tests/test_partitions.py:473: AssertionError

(Previously filed as https://2u-internal.atlassian.net/browse/CR-7071)