### 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)

#
#
#
from __future__ import annotations
from datetime import timedelta
import pendulum
import pytest
from airflow.models import DAG
from airflow.models.baseoperator import BaseOperator
from airflow.models.mappedoperator import MappedOperator
from airflow.models.param import ParamsDict
from airflow.models.taskinstance import TaskInstance
from airflow.models.taskmap import TaskMap
from airflow.models.xcom_arg import XComArg
from airflow.utils.state import TaskInstanceState
from airflow.utils.trigger_rule import TriggerRule
from airflow.utils.xcom import XCOM_RETURN_KEY
from tests.models import DEFAULT_DATE
from tests.test_utils.mapping import expand_mapped_task
from tests.test_utils.mock_operators import MockOperator, MockOperatorWithNestedFields, NestedFields
def test_task_mapping_with_dag():