### Apache Airflow version

2.5.1

### What happened

Context: I am attempting to use [TypedDict](https://docs.python.org/3/library/typing.html#typing.TypedDict) objects to maintain the keys used in DAG params in a single place, and check for key names across multiple DAGs that use the params.
This raises an error with `mypy` as `params` expects an `Optional[Dict]`. Due to the invariance of `Dict`, this does not accept `TypedDict` objects.

What happened: I passed a `TypedDict` to the `params` arg of `DAG` and got a TypeError.

### What you think should happen instead

`TypedDict` objects should be accepted by `DAG`, which should accept `Optional[Mapping[str, Any]]`. 

Unless I'm mistaken, `params` are converted to a `ParamsDict` class and therefore the appropriate type hint is a generic `Mapping` type.

### How to reproduce

Steps to reproduce

```Python
from typing import TypedDict

from airflow import DAG
from airflow.models import Param

class ParamsTypedDict(TypedDict):
    str_param: Param

params: ParamsTypedDict = {
    "str_param": Param("", type="str")
}

with DAG(
    dag_id="mypy-error-dag",
    # The line below raises a mypy error
    # Argument "params" to "DAG" has incompatible type "ParamsTypedDict"; expected "Optional[Dict[Any, Any]]"  [arg-type]
    params=params,  
) as dag:
    pass
```

### Operating System

Amazon Linux

### Versions of Apache Airflow Providers

_No response_

### Deployment

Docker-Compose

### 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)

"""Stringified DAGs and operators contain exactly these fields."""
        if not cls.__serialized_fields:
            exclusion_list = {
                "parent_dag",
                "schedule_dataset_references",
                "task_outlet_dataset_references",
                "_old_context_manager_dags",
                "safe_dag_id",
                "last_loaded",
                "user_defined_filters",
                "user_defined_macros",
                "partial",
                "params",
                "_pickle_id",
                "_log",
                "task_dict",
                "template_searchpath",
                "sla_miss_callback",
                "on_success_callback",
                "on_failure_callback",
                "template_undefined",
                "jinja_environment_kwargs",
                
                "has_on_success_callback",
                "has_on_failure_callback",
                "auto_register",
            }
            cls.__serialized_fields = frozenset(vars(DAG(dag_id="test")).keys()) - exclusion_list
        return cls.__serialized_fields
    def get_edge_info(self, upstream_task_id: str, downstream_task_id: str) -> EdgeInfoType: