### 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)

dr.dag = serialized_dag
    
    ti = dr.get_task_instance(task_id="task_1")
    task1 = dag.get_task("task_1")
    ti.refresh_from_task(task1)
    ti.run()
    task2 = dag.get_task("task_2")
    for ti in dr.get_task_instances():
        if ti.map_index < 0:
            ti.task = task1
        else:
            ti.task = task2
        session.merge(ti)
    session.flush()
    with caplog.at_level(logging.DEBUG):
        
        dr.verify_integrity()
        tis = dr.get_task_instances()
        indices = [(ti.map_index, ti.state) for ti in tis if ti.map_index >= 0]
        assert sorted(indices) == [
            (0, TaskInstanceState.REMOVED),
            (1, TaskInstanceState.REMOVED),
            (2, TaskInstanceState.REMOVED),
        ]
        assert (
            f"Removing task '{ti1}' as the map_index is longer than the resolved mapping list (0)"
            in caplog.text
        )
@pytest.mark.need_serialized_dag
def test_mapped_mixed_literal_not_expanded_at_create(dag_maker, session):