### 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)

return bool(self.__dict)
    def __eq__(self, other: Any) -> bool:
        if isinstance(other, ParamsDict):
            return self.dump() == other.dump()
        if isinstance(other, dict):
            return self.dump() == other
        return NotImplemented
    def __copy__(self) -> ParamsDict:
        return ParamsDict(self.__dict, self.suppress_exception)
    def __deepcopy__(self, memo: dict[int, Any] | None) -> ParamsDict:
        return ParamsDict(copy.deepcopy(self.__dict, memo), self.suppress_exception)
    def __contains__(self, o: object) -> bool:
        return o in self.__dict
    def __len__(self) -> int:
        return len(self.__dict)
    def __delitem__(self, v: str) -> None:
        del self.__dict[v]
    def __iter__(self):
        return iter(self.__dict)
    def __repr__(self):