### 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)

else:
                
                if None in state:
                    if all(x is None for x in state):
                        tis = tis.where(TI.state.is_(None))
                    else:
                        not_none_state = (s for s in state if s)
                        tis = tis.where(or_(TI.state.in_(not_none_state), TI.state.is_(None)))
                else:
                    tis = tis.where(TI.state.in_(state))
        if task_ids is not None:
            tis = tis.where(TI.task_id.in_(task_ids))
        return session.scalars(tis).all()
    @provide_session
    def get_task_instances(
        self,
        state: Iterable[TaskInstanceState | None] | None = None,
        session: Session = NEW_SESSION,
    ) -> list[TI]:
        """
        Returns the task instances for this dag run.
        Redirect to DagRun.fetch_task_instances method.
        Keep this method because it is widely used across the code.
        """
        task_ids = self.dag.task_ids if self.dag and self.dag.partial else None
        return DagRun.fetch_task_instances(
            dag_id=self.dag_id, run_id=self.run_id, task_ids=task_ids, state=state, session=session
        )
    @provide_session
    def get_task_instance(