### 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)

_, capture_templates, admin_client, endpoint
):
    """Show external links if log handler is external."""
    url = f"{endpoint}?dag_id=example_bash_operator"
    with capture_templates() as templates:
        admin_client.get(url, follow_redirects=True)
        ctx = templates[0].local_context
        assert ctx["show_external_log_redirect"]
        assert ctx["external_log_name"] == _ExternalHandler.LOG_NAME
@pytest.mark.parametrize("endpoint", ["graph", "tree"])
@unittest.mock.patch(
    "airflow.utils.log.log_reader.TaskLogReader.log_handler",
    new_callable=unittest.mock.PropertyMock,
    return_value=_ExternalHandler(),
)
def test_external_log_redirect_link_with_external_log_handler_not_shown(
    _external_handler, capture_templates, admin_client, endpoint
):
    """Show external links if log handler is external."""
    _external_handler.return_value._supports_external_link = False
    url = f"{endpoint}?dag_id=example_bash_operator"
    with capture_templates() as templates:
        admin_client.get(url, follow_redirects=True)
        ctx = templates[0].local_context
        assert not ctx["show_external_log_redirect"]
        assert ctx["external_log_name"] is None
def _get_appbuilder_pk_string(model_view_cls, instance) -> str: