### Apache Airflow version

Other Airflow 2 version (please specify below)

### What happened

Greetings!
Recently I’ve faced a problem. It seems that assigning object, which can’t be serialized to JSON, to the dag_run.conf dict cause critical errors with UI.
After executing code example in "How to reproduce": 
Grid representation of the DAG breaks with following result:
<img width="800" alt="Pasted Graphic" src="https://github.com/apache/airflow/assets/79107237/872ccde5-500f-4484-a36c-dce6b7112286">
Browse -> DAG Runs also becomes unavailable.
<img width="800" alt="Pasted Graphic 1" src="https://github.com/apache/airflow/assets/79107237/b4e3df0c-5324-41dd-96f3-032e706ab7a9">
Dag itself continues to work correctly, this affects only UI graph and dagrun/list/
I suggest to use custom dictionary with restriction on setting non json values.

### What you think should happen instead

Raise an error

### How to reproduce

Execute following task. 
Composer 2 version 2.4.2
Airflow version 2.5.3
```
@task 
def test_task(**context):
    context['dag_run'].conf["test"] = np.int64(1234)
```

### Operating System

Ubuntu 20.04.6 LTS

### Versions of Apache Airflow Providers

_No response_

### Deployment

Google Cloud Composer

### 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)

dag = DAG(dag_id="test_latest_runs_1", start_date=DEFAULT_DATE)
        self.create_dag_run(dag, execution_date=timezone.datetime(2015, 1, 1), session=session)
        self.create_dag_run(dag, execution_date=timezone.datetime(2015, 1, 2), session=session)
        dagruns = DagRun.get_latest_runs(session)
        session.close()
        for dagrun in dagruns:
            if dagrun.dag_id == "test_latest_runs_1":
                assert dagrun.execution_date == timezone.datetime(2015, 1, 2)
    def test_removed_task_instances_can_be_restored(self, session):
        def with_all_tasks_removed(dag):
            return DAG(dag_id=dag.dag_id, start_date=dag.start_date)
        dag = DAG("test_task_restoration", start_date=DEFAULT_DATE)
        dag.add_task(EmptyOperator(task_id="flaky_task", owner="test"))
        dagrun = self.create_dag_run(dag, session=session)
        flaky_ti = dagrun.get_task_instances()[0]
        assert "flaky_task" == flaky_ti.task_id
        assert flaky_ti.state is None
        dagrun.dag = with_all_tasks_removed(dag)
        dagrun.verify_integrity()
        flaky_ti.refresh_from_db()
        assert flaky_ti.state is None
        dagrun.dag.add_task(EmptyOperator(task_id="flaky_task", owner="test"))
        dagrun.verify_integrity()
        flaky_ti.refresh_from_db()
        assert flaky_ti.state is None
    def test_already_added_task_instances_can_be_ignored(self, session):