### 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)

print(x)
    with dag_maker() as dag:
        printx.expand(x=[1])
    dr1: DagRun = dag_maker.create_dagrun(run_type=DagRunType.SCHEDULED)
    ti = dr1.get_task_instances()[0]
    filter_kwargs = dict(dag_id=ti.dag_id, task_id=ti.task_id, run_id=ti.run_id, map_index=ti.map_index)
    ti = session.query(TaskInstance).filter_by(**filter_kwargs).one()
    tr = TaskReschedule(
        task=ti,
        run_id=ti.run_id,
        try_number=ti.try_number,
        start_date=timezone.datetime(2017, 1, 1),
        end_date=timezone.datetime(2017, 1, 2),
        reschedule_date=timezone.datetime(2017, 1, 1),
    )
    
    
    ti.map_index = -1
    ti.note = "sample note"
    session.merge(ti)
    session.flush()