### 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)

self.outlets: list = []
        if inlets:
            self.inlets = (
                inlets
                if isinstance(inlets, list)
                else [
                    inlets,
                ]
            )
        if outlets:
            self.outlets = (
                outlets
                if isinstance(outlets, list)
                else [
                    outlets,
                ]
            )
        if isinstance(self.template_fields, str):
            warnings.warn(
                f"The `template_fields` value for {self.task_type} is a string "
                "but should be a list or tuple of string. Wrapping it in a list for execution. "
                f"Please update {self.task_type} accordingly.",
                UserWarning,
                stacklevel=2,
            )
            self.template_fields = [self.template_fields]
        if SetupTeardownContext.active:
            SetupTeardownContext.update_context_map(self)
    @classmethod
    def as_setup(cls, *args, **kwargs):