### 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)

doc_yaml: str | None | ArgNotSet = NOTSET,
    doc_rst: str | None | ArgNotSet = NOTSET,
    **kwargs,
) -> OperatorPartial:
    from airflow.models.dag import DagContext
    from airflow.utils.task_group import TaskGroupContext
    validate_mapping_kwargs(operator_class, "partial", kwargs)
    dag = dag or DagContext.get_current_dag()
    if dag:
        task_group = TaskGroupContext.get_current_task_group(dag)
    if task_group:
        task_id = task_group.child_id(task_id)
    
    dag_default_args, partial_params = get_merged_defaults(
        dag=dag,
        task_group=task_group,
        task_params=params,
        task_default_args=kwargs.pop("default_args", None),
    )
    
    partial_kwargs: dict[str, Any] = {
        **kwargs,
        "dag": dag,
        "task_group": task_group,
        "task_id": task_id,
        "start_date": start_date,
        "end_date": end_date,
        "owner": owner,
        "email": email,
        "trigger_rule": trigger_rule,