### 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)

"""
    Test that dynamic task inside a dynamic task group only marks
    the corresponding downstream EmptyOperator as success.
    """
    literal = [1, 2, 3]
    with dag_maker(session=session) as dag:
        @task_group
        def tg(x):
            @task
            def t1(x):
                return x
            t2 = EmptyOperator(task_id="t2")
            @task
            def t3(x):
                return x
            t1(x) >> t2 >> t3(x)
        tg.expand(x=literal)
    dr = dag_maker.create_dagrun()
    t2_task = dag.get_task("tg.t2")
    t2_0 = dr.get_task_instance(task_id="tg.t2", map_index=0)
    t2_0.refresh_from_task(t2_task)
    assert t2_0.state is None
    t2_1 = dr.get_task_instance(task_id="tg.t2", map_index=1)
    t2_1.refresh_from_task(t2_task)
    assert t2_1.state is None
    dr.schedule_tis([t2_0])
    t2_0 = dr.get_task_instance(task_id="tg.t2", map_index=0)
    assert t2_0.state == TaskInstanceState.SUCCESS
    t2_1 = dr.get_task_instance(task_id="tg.t2", map_index=1)
    assert t2_1.state is None