### 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)

"""Gets 'state' & returns a formatted string with HTML for a given State."""
    state = attr.get("state")
    return state_token(state)
def nobr_f(attr_name):
    """Returns a formatted string with HTML with a Non-breaking Text element."""
    def nobr(attr):
        f = attr.get(attr_name)
        return Markup("<nobr>{}</nobr>").format(f)
    return nobr
def datetime_f(attr_name):
    """Returns a formatted string with HTML for given DataTime."""
    def dt(attr):
        f = attr.get(attr_name)
        return datetime_html(f)
    return dt
def datetime_html(dttm: DateTime | None) -> str:
    """Return an HTML formatted string with time element to support timezone changes in UI."""
    as_iso = dttm.isoformat() if dttm else ""
    if not as_iso:
        return Markup("")
    as_iso_short = as_iso
    if timezone.utcnow().isoformat()[:4] == as_iso[:4]:
        as_iso_short = as_iso[5:]
    
    return Markup('<nobr><time title="" datetime="{}">{}</time></nobr>').format(as_iso, as_iso_short)
def json_f(attr_name):
    """Returns a formatted string with HTML for given JSON serializable."""
    def json_(attr):