### 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)

"""Required by DAGNode."""
        return DagAttributeTypes.OP, self.task_id
    @property
    def inherits_from_empty_operator(self):
        """Used to determine if an Operator is inherited from EmptyOperator"""
        
        
        
        return getattr(self, "_is_empty", False)
    def defer(
        self,
        *,
        trigger: BaseTrigger,
        method_name: str,
        kwargs: dict[str, Any] | None = None,
        timeout: timedelta | None = None,
    ):
        """
        Marks this Operator as being "deferred" - that is, suspending its
        execution until the provided trigger fires an event.
        This is achieved by raising a special exception (TaskDeferred)
        which is caught in the main _execute_task wrapper.
        """
        raise TaskDeferred(trigger=trigger, method_name=method_name, kwargs=kwargs, timeout=timeout)
    def unmap(self, resolve: None | dict[str, Any] | tuple[Context, Session]) -> BaseOperator: