### 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)

- {
                    "upstream_task_ids",
                    "default_args",
                    "dag",
                    "_dag",
                    "label",
                    "_BaseOperator__instantiated",
                    "_BaseOperator__init_kwargs",
                    "_BaseOperator__from_mapped",
                }
                | {  
                    "start_date",
                    "end_date",
                    "_task_type",
                    "_operator_name",
                    "subdag",
                    "ui_color",
                    "ui_fgcolor",
                    "template_ext",
                    "template_fields",
                    "template_fields_renderers",
                    "params",
                    "_is_setup",
                    "_is_teardown",
                    "_on_failure_fail_dagrun",
                }
            )
            DagContext.pop_context_managed_dag()
        return cls.__serialized_fields
    def serialize_for_task_group(self) -> tuple[DagAttributeTypes, Any]: