### 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)

session.query(DagRun)
                    .filter(
                        DagRun.dag_id == self.dag_id,
                        DagRun.execution_date == info.logical_date,
                    )
                    .one()
                )
                ti = TaskInstance(self, run_id=dag_run.run_id)
            except NoResultFound:
                
                dr = DagRun(
                    dag_id=self.dag_id,
                    run_id=DagRun.generate_run_id(DagRunType.MANUAL, info.logical_date),
                    run_type=DagRunType.MANUAL,
                    execution_date=info.logical_date,
                    data_interval=info.data_interval,
                )
                ti = TaskInstance(self, run_id=dr.run_id)
                ti.dag_run = dr
                session.add(dr)
                session.flush()
            ti.run(
                mark_success=mark_success,
                ignore_depends_on_past=ignore_depends_on_past,
                wait_for_past_depends_before_skipping=wait_for_past_depends_before_skipping,
                ignore_ti_state=ignore_ti_state,
                test_mode=test_mode,
                session=session,
            )
    def dry_run(self) -> None: