### 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(1)
    @task
    def work_task():
        print(1)
    @setup
    def setup_task():
        print(1)
    def make_task(task_id, dag):
        """
        Task factory helper.
        Will give a setup, teardown, work, or teardown-with-dagrun-failure task depending on input.
        """
        if task_id.startswith("s"):
            factory = setup_task
        elif task_id.startswith("w"):
            factory = work_task
        elif task_id.endswith("_"):
            factory = teardown_task.override(on_failure_fail_dagrun=True)
        else:
            factory = teardown_task
        return dag.task_dict.get(task_id) or factory.override(task_id=task_id)()
    with dag_maker() as dag:
        for line in input:
            tasks = [make_task(x, dag) for x in line.split(" >> ")]
            reduce(lambda x, y: x >> y, tasks)
    dr = dag_maker.create_dagrun()
    tis = dr.task_instance_scheduling_decisions(session).tis
    tis_for_state = {x.task_id for x in dr._tis_for_dagrun_state(dag=dag, tis=tis)}