### Apache Airflow version

main (development)

### What happened

When creating a DAG with Task Groups and a Mapped Operator, if the Task Group is passed as argument to Mapped Operator's `partial` method it is ignored and the operator is not added to the group.

### What you think should happen instead

The Mapped Operator should be added to the Task Group passed as an argument.

### How to reproduce

Create a DAG with a source code like the following one

```python
from airflow import DAG
from airflow.operators.bash import BashOperator
from airflow.operators.empty import EmptyOperator
from airflow.utils import timezone
from airflow.utils.task_group import TaskGroup


with DAG("dag", start_date=timezone.datetime(2016, 1, 1)) as dag:
    start = EmptyOperator(task_id="start")
    finish = EmptyOperator(task_id="finish")

    group = TaskGroup("test-group")
    commands = ["echo a", "echo b", "echo c"]
    mapped = BashOperator.partial(task_id="task_2", task_group=group).expand(bash_command=commands)

    start >> group >> finish

# assert mapped.task_group == group

```

### Operating System

macOS 13.2.1 (22D68)

### Versions of Apache Airflow Providers

_No response_

### Deployment

Other

### 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)

if retries is None or isinstance(retries, int):
        return retries
    try:
        parsed_retries = int(retries)
    except (TypeError, ValueError):
        raise AirflowException(f"'retries' type must be int, not {type(retries).__name__}")
    logger.warning("Implicitly converting 'retries' from %r to int", retries)
    return parsed_retries
def coerce_timedelta(value: float | timedelta, *, key: str) -> timedelta:
    if isinstance(value, timedelta):
        return value
    logger.debug("%s isn't a timedelta object, assuming secs", key)
    return timedelta(seconds=value)
def coerce_resources(resources: dict[str, Any] | None) -> Resources | None:
    if resources is None:
        return None
    return Resources(**resources)
def _get_parent_defaults(dag: DAG | None, task_group: TaskGroup | None) -> tuple[dict, ParamsDict]: