### 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)

dr: DagRun = dag_maker.create_dagrun()
    tis = {(ti.task_id, ti.map_index): ti for ti in dr.task_instances}
    
    
    
    assert sorted(map_index for (task_id, map_index) in tis if task_id == "task_2") == [-1]
    assert sorted(map_index for (task_id, map_index) in tis if task_id == "task_3") == [0, 1, 2]
    assert sorted(map_index for (task_id, map_index) in tis if task_id == "task_4") == [0, 1, 2]
    tis[("task_0", -1)].run()
    tis[("task_1", -1)].run()
    
    decision = dr.task_instance_scheduling_decisions()
    assert {(ti.task_id, ti.map_index): ti.state for ti in decision.schedulable_tis} == {
        ("task_2", 0): None,
        ("task_2", 1): None,
        ("task_2", 2): None,
        ("task_3", 0): None,
        ("task_3", 1): None,
        ("task_3", 2): None,
        ("task_4", 0): None,
        ("task_4", 1): None,
        ("task_4", 2): None,
    }
def test_mapped_skip_upstream_not_deadlock(dag_maker):
    with dag_maker() as dag:
        @dag.task
        def add_one(x: int):
            return x + 1
        @dag.task
        def say_hi():