### Apache Airflow version

2.5.1

### What happened

DagRun state and start_date are reset if somebody is clearing a task of the running DagRun.

### What you think should happen instead

I think we should not reset DagRun `state` and `start_date` in it's in the running or queued states because it doesn't make any sense for me. `state` and `start_date` of the DgRun should remain the same in case somebody's clearing a task of the running DagRun

### How to reproduce

Let's say we have a Dag with 2 tasks in it - short one and the long one:
```
dag = DAG(
    'dummy-dag',
    schedule_interval='@once',
    catchup=False,
)

DagContext.push_context_managed_dag(dag)

bash_success = BashOperator(
    task_id='bash-success',
    bash_command='echo "Start and finish"; exit 0',
    retries=0,
)

date_ind_success = BashOperator(
    task_id='bash-long-success',
    bash_command='echo "Start and finish"; sleep 300; exit 0',
)
```

Let's day we have a running Dagrun of this DAG. First task finishes in a second and the long one is still running. We have a start_date and duration set and the Dagrun is still running. It runs for example for a 30 secs (pic 1 and 2)

<img width="486" alt="image" src="https://user-images.githubusercontent.com/23456894/225335210-c2223ad1-771b-459d-b8ed-8f0aacb9b890.png">
<img width="492" alt="image" src="https://user-images.githubusercontent.com/23456894/225335272-ad737aef-2051-4e27-ae36-38c76d720c95.png">

Then we are clearing the short task. It causes clear of the Dagrun state (to `queued`) and clears `start_date` like we have a new Dagrun (pic 3 and 4)
<img width="407" alt="image" src="https://user-images.githubusercontent.com/23456894/225335397-6c7e0df7-a26a-46ed-8eaa-56ff928fc01a.png">
<img width="498" alt="image" src="https://user-images.githubusercontent.com/23456894/225335491-4d6a860a-e923-4878-b212-a6ccb4b590a3.png">

### Operating System

Unix/MacOS

### Versions of Apache Airflow Providers

_No response_

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [X] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

assert dr_database.end_date is None
        ti_op1.set_state(state=TaskInstanceState.FAILED, session=session)
        ti_op2.set_state(state=TaskInstanceState.FAILED, session=session)
        dr.update_state()
        dr_database = session.query(DagRun).filter(DagRun.run_id == "test_dagrun_update_state_end_date").one()
        assert dr_database.end_date is not None
        assert dr.end_date == dr_database.end_date
    def test_get_task_instance_on_empty_dagrun(self, session):
        """
        Make sure that a proper value is returned when a dagrun has no task instances
        """
        dag = DAG(dag_id="test_get_task_instance_on_empty_dagrun", start_date=timezone.datetime(2017, 1, 1))
        ShortCircuitOperator(task_id="test_short_circuit_false", dag=dag, python_callable=lambda: False)
        now = timezone.utcnow()
        
        
        dag_run = DagRun(
            dag_id=dag.dag_id,
            run_id="test_get_task_instance_on_empty_dagrun",
            run_type=DagRunType.MANUAL,
            execution_date=now,
            start_date=now,
            state=DagRunState.RUNNING,
            external_trigger=False,
        )
        session.add(dag_run)
        session.commit()
        ti = dag_run.get_task_instance("test_short_circuit_false")
        assert ti is None
    def test_get_latest_runs(self, session):