### 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)

super().__setattr__(key, value)
        if self.__from_mapped or self._lock_for_execution:
            return  
        if key in self.__init_kwargs:
            self.__init_kwargs[key] = value
        if self.__instantiated and key in self.template_fields:
            
            
            
            
            self.set_xcomargs_dependencies()
    def add_inlets(self, inlets: Iterable[Any]):
        """Sets inlets to this operator"""
        self.inlets.extend(inlets)
    def add_outlets(self, outlets: Iterable[Any]):
        """Defines the outlets of this operator"""
        self.outlets.extend(outlets)
    def get_inlet_defs(self):
        """:meta private:"""
        return self.inlets
    def get_outlet_defs(self):
        """:meta private:"""
        return self.outlets
    def get_dag(self) -> DAG | None: