### Apache Airflow version

main (development)

### What happened

It seems [this](https://github.com/apache/airflow/commit/e16207409998b38b91c1f1697557d5c229ed32d1) commit has made the task instance execution date disappear from the task instance tooltip completely:
![image](https://github.com/apache/airflow/assets/18099224/62c9fec5-9e02-4319-93b9-197d25a8b027)
Note the missing `Run: <execution date>` between Task_id and Run_id.
I think there's a problem with the task instance execution date, because it's always `undefined`. In an older version of Airflow (2.4.3), I can see that the tooltip always shows the **current** datetime instead of the actual execution date, which is what the author of the commit identified in the first place I think.

### What you think should happen instead

The tooltip should properly show the task instance's execution date, not the current datetime (or nothing). There's a deeper problem here that causes `ti.execution_date` to be `undefined`.

### How to reproduce

Run the main branch of Airflow, with a simple DAG that finishes a run successfully. Go to the Graph view of a DAG and hover over any completed task with the mouse.

### Operating System

Ubuntu 22.04

### Versions of Apache Airflow Providers

_No response_

### Deployment

Virtualenv installation

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [ ] 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)

resp = admin_client.post(url, data=data, follow_redirects=True)
    check_content_in_response(content, resp)
@pytest.mark.parametrize("url", ["failed", "success"])
def test_dag_never_run(admin_client, url):
    dag_id = "example_bash_operator"
    form = dict(
        task_id="run_this_last",
        dag_id=dag_id,
        execution_date=DEFAULT_DATE,
        upstream="false",
        downstream="false",
        future="false",
        past="false",
        origin="/graph?dag_id=example_bash_operator",
    )
    clear_db_runs()
    resp = admin_client.post(url, data=form, follow_redirects=True)
    check_content_in_response(f"Cannot mark tasks as {url}, seem that DAG {dag_id} has never run", resp)
class _ForceHeartbeatCeleryExecutor(CeleryExecutor):