### 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)

task = ti.task
    for map_index in range(1, 5):
        ti = TI(task, run_id=dr.run_id, map_index=map_index)
        ti.dag_run = dr
        session.add(ti)
    session.flush()
    tis = dr.get_task_instances()
    for ti in tis:
        if ti.task_id == "do_something":
            if ti.map_index > 2:
                ti.state = TaskInstanceState.REMOVED
            else:
                ti.state = TaskInstanceState.SUCCESS
            session.merge(ti)
    session.commit()
    
    (tis, _) = dr.update_state()
    assert len(tis)
    assert dr.state != DagRunState.FAILED
@pytest.mark.parametrize(
    "partial_params, mapped_params, expected",
    [
        pytest.param(None, [{"a": 1}], [[("a", 1)]], id="simple"),
        pytest.param({"b": 2}, [{"a": 1}], [[("a", 1), ("b", 2)]], id="merge"),
        pytest.param({"b": 2}, [{"a": 1, "b": 3}], [[("a", 1), ("b", 3)]], id="override"),
    ],
)
def test_mapped_expand_against_params(dag_maker, partial_params, mapped_params, expected):
    results = []
    class PullOperator(BaseOperator):