### 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)

recursion_depth: int = 0,
        max_recursion_depth: int | None = None,
        dag_bag: DagBag | None = None,
        exclude_task_ids: frozenset[str] | frozenset[tuple[str, int]] | None = frozenset(),
    ) -> int | Iterable[TaskInstance]:
        """
        Clears a set of task instances associated with the current dag for
        a specified date range.
        :param task_ids: List of task ids or (``task_id``, ``map_index``) tuples to clear
        :param start_date: The minimum execution_date to clear
        :param end_date: The maximum execution_date to clear
        :param only_failed: Only clear failed tasks
        :param only_running: Only clear running tasks.
        :param confirm_prompt: Ask for confirmation
        :param include_subdags: Clear tasks in subdags and clear external tasks
            indicated by ExternalTaskMarker
        :param include_parentdag: Clear tasks in the parent dag of the subdag.
        :param dag_run_state: state to set DagRun to. If set to False, dagrun state will not
            be changed.
        :param dry_run: Find the tasks to clear but don't clear them.
        :param session: The sqlalchemy session to use
        :param dag_bag: The DagBag used to find the dags subdags (Optional)
        :param exclude_task_ids: A set of ``task_id`` or (``task_id``, ``map_index``)
            tuples that should not be cleared
        """
        if get_tis:
            warnings.warn(
                "Passing `get_tis` to dag.clear() is deprecated. Use `dry_run` parameter instead.",
                RemovedInAirflow3Warning,
                stacklevel=2,