### 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)

tis = self.get_task_instances(session=session, state=State.task_states)
        self.log.debug("number of tis tasks for %s: %s task(s)", self, len(tis))
        def _filter_tis_and_exclude_removed(dag: DAG, tis: list[TI]) -> Iterable[TI]:
            """Populate ``ti.task`` while excluding those missing one, marking them as REMOVED."""
            for ti in tis:
                try:
                    ti.task = dag.get_task(ti.task_id)
                except TaskNotFound:
                    if ti.state != TaskInstanceState.REMOVED:
                        self.log.error("Failed to get task for ti %s. Marking it as removed.", ti)
                        ti.state = TaskInstanceState.REMOVED
                        session.flush()
                else: