### 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("Hi")
        @task
        def say_bye():
            print("Bye")
        added_values = add_one.expand(x=[])
        added_more_values = add_one.expand(x=[])
        added_more_more_values = add_one.expand(x=[])
        say_hi() >> say_bye() >> added_values
        added_values >> added_more_values >> added_more_more_values
    dr: DagRun = dag_maker.create_dagrun()
    tis = {ti.task_id: ti for ti in dr.get_task_instances(session=session)}
    say_hi_ti = tis["say_hi"]
    say_bye_ti = tis["say_bye"]
    say_hi_ti.state = TaskInstanceState.SUCCESS
    say_bye_ti.state = TaskInstanceState.SUCCESS
    session.merge(say_hi_ti)
    session.merge(say_bye_ti)
    session.flush()
    dr.update_state(session=session)
    dr.update_state(session=session)  
    dr.update_state(session=session)  
    dr.update_state(session=session)  
    tis = {ti.task_id: ti.state for ti in dr.get_task_instances(session=session)}
    assert tis["say_hi"] == TaskInstanceState.SUCCESS
    assert tis["say_bye"] == TaskInstanceState.SUCCESS
    assert tis["add_one"] == TaskInstanceState.SKIPPED
    assert tis["add_one__1"] == TaskInstanceState.SKIPPED
    assert tis["add_one__2"] == TaskInstanceState.SKIPPED
    assert dr.state == State.SUCCESS
def test_mapped_task_depends_on_past(dag_maker, session):