### 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)

"""Abstract base class that defines how we get an operator link."""
    operators: ClassVar[BaseOperatorClassList] = []
    """
    This property will be used by Airflow Plugins to find the Operators to which you want
    to assign this Operator Link
    :return: List of Operator classes used by task for which you want to create extra link
    """
    @property
    @abstractmethod
    def name(self) -> str:
        """Name of the link. This will be the button name on the task UI."""
    @abstractmethod
    def get_link(self, operator: BaseOperator, *, ti_key: TaskInstanceKey) -> str:
        """Link to external system.
        Note: The old signature of this function was ``(self, operator, dttm: datetime)``. That is still
        supported at runtime but is deprecated.
        :param operator: The Airflow operator object this link is associated to.
        :param ti_key: TaskInstance ID to return link for.
        :return: link to external system
        """