### 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)

kwargs[arg] = default_args[arg]
            missing_args = non_optional_args - set(kwargs)
            if len(missing_args) == 1:
                raise AirflowException(f"missing keyword argument {missing_args.pop()!r}")
            elif missing_args:
                display = ", ".join(repr(a) for a in sorted(missing_args))
                raise AirflowException(f"missing keyword arguments {display}")
            if merged_params:
                kwargs["params"] = merged_params
            hook = getattr(self, "_hook_apply_defaults", None)
            if hook:
                args, kwargs = hook(**kwargs, default_args=default_args)
                default_args = kwargs.pop("default_args", {})
            if not hasattr(self, "_BaseOperator__init_kwargs"):
                self._BaseOperator__init_kwargs = {}
            self._BaseOperator__from_mapped = instantiated_from_mapped
            result = func(self, **kwargs, default_args=default_args)
            
            self._BaseOperator__init_kwargs.update(kwargs)  
            
            
            if not instantiated_from_mapped and func == self.__init__.__wrapped__:  
                self.set_xcomargs_dependencies()
                
                self._BaseOperator__instantiated = True
            return result
        apply_defaults.__non_optional_args = non_optional_args  
        apply_defaults.__param_names = set(non_variadic_params)  
        return cast(T, apply_defaults)
    def __new__(cls, name, bases, namespace, **kwargs):