### Body

We have several tests marked in the code base with `@pytest.mark.quarantined`
It means that the tests are flaky and if fail in CI it does not fail the build.
The goal is to fix the tests and make them stable.

This task is to gather all of them under the same issue instead of dedicated issue per test.

- [x] [TestImpersonation](https://github.com/apache/airflow/blob/bfcae349b88fd959e32bfacd027a5be976fe2132/tests/core/test_impersonation_tests.py#L117)
- [x] [TestImpersonationWithCustomPythonPath](https://github.com/apache/airflow/blob/bfcae349b88fd959e32bfacd027a5be976fe2132/tests/core/test_impersonation_tests.py#L181)
- [x] [test_exception_propagation](https://github.com/apache/airflow/blob/76f81cd4a7433b7eeddb863b2ae6ee59176cf816/tests/jobs/test_local_task_job.py#L772)
- [x] [test_localtaskjob_maintain_heart_rate](https://github.com/apache/airflow/blob/76f81cd4a7433b7eeddb863b2ae6ee59176cf816/tests/jobs/test_local_task_job.py#L402)
- [x] [test_exception_propagation](https://github.com/apache/airflow/blob/4d0fd8ef6adc35f683c7561f05688a65fd7451f4/tests/executors/test_celery_executor.py#L103)
- [x] [test_process_sigterm_works_with_retries](https://github.com/apache/airflow/blob/65010fda091242870a410c65478eae362899763b/tests/jobs/test_local_task_job.py#L770)


### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
"""
        Test that ensures that if a running task is externally skipped (due to a dagrun timeout)
        It is logged in the task logs.
        """
        dag = get_test_dag("test_mark_state")
        dag.dagrun_timeout = datetime.timedelta(microseconds=1)
        with create_session() as session:
            dr = dag.create_dagrun(
                state=State.RUNNING,
                start_date=DEFAULT_DATE,
                execution_date=DEFAULT_DATE,
                run_type=DagRunType.SCHEDULED,
                session=session,
            )
        task = dag.get_task(task_id="test_mark_skipped_externally")
        ti = dr.get_task_instance(task.task_id)
        ti.refresh_from_task(task)
        job1 = LocalTaskJob(task_instance=ti, ignore_ti_state=True, executor=SequentialExecutor())
        with timeout(30):
            
            
            job1.run()
        ti.refresh_from_db()
        assert ti.state == State.SKIPPED
        assert "DagRun timed out after " in caplog.text
    def test_failure_callback_called_by_airflow_run_raw_process(self, monkeypatch, tmp_path, get_test_dag):