### 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)

url = f"rendered-k8s?task_id=runme_0&dag_id=example_bash_operator&execution_date={DEFAULT_VAL}"
    resp = admin_client.get(url, follow_redirects=True)
    assert 404 == resp.status_code
def test_tree_trigger_origin_tree_view(app, admin_client):
    app.dag_bag.get_dag("test_tree_view").create_dagrun(
        run_type=DagRunType.SCHEDULED,
        execution_date=DEFAULT_DATE,
        data_interval=(DEFAULT_DATE, DEFAULT_DATE),
        start_date=timezone.utcnow(),
        state=State.RUNNING,
    )
    url = "tree?dag_id=test_tree_view"
    resp = admin_client.get(url, follow_redirects=True)
    params = {"origin": "/dags/test_tree_view/grid"}
    href = f"/dags/test_tree_view/trigger?{html.escape(urllib.parse.urlencode(params))}"
    check_content_in_response(href, resp)
def test_graph_trigger_origin_graph_view(app, admin_client):
    app.dag_bag.get_dag("test_tree_view").create_dagrun(
        run_type=DagRunType.SCHEDULED,
        execution_date=DEFAULT_DATE,
        data_interval=(DEFAULT_DATE, DEFAULT_DATE),
        start_date=timezone.utcnow(),
        state=State.RUNNING,
    )
    url = "/dags/test_tree_view/graph"
    resp = admin_client.get(url, follow_redirects=True)
    params = {"origin": "/dags/test_tree_view/graph"}
    href = f"/dags/test_tree_view/trigger?{html.escape(urllib.parse.urlencode(params))}"
    check_content_in_response(href, resp)
def test_graph_view_without_dag_permission(app, one_dag_perm_user_client):