### Body

The hook uses `_headers`:

https://github.com/apache/airflow/blob/9276310a43d17a9e9e38c2cb83686a15656896b2/airflow/providers/http/hooks/http.py#L340-L341

but passes `headers` to the async function

https://github.com/apache/airflow/blob/9276310a43d17a9e9e38c2cb83686a15656896b2/airflow/providers/http/hooks/http.py#L368-L375

The task:

`headers=headers` needs to be `headers=_headers`

https://github.com/apache/airflow/blob/9276310a43d17a9e9e38c2cb83686a15656896b2/airflow/providers/http/hooks/http.py#L372

There was attempt to address it in https://github.com/apache/airflow/pull/31010 but the PR become stale as no response from the author.

### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
"""Interact with HTTP servers asynchronously.
    :param method: the API method to be called
    :param http_conn_id: http connection id that has the base
        API url i.e https://www.google.com/ and optional authentication credentials. Default
        headers can also be specified in the Extra field in json format.
    :param auth_type: The auth type for the service
    """
    conn_name_attr = "http_conn_id"
    default_conn_name = "http_default"
    conn_type = "http"
    hook_name = "HTTP"
    def __init__(
        self,
        method: str = "POST",
        http_conn_id: str = default_conn_name,
        auth_type: Any = aiohttp.BasicAuth,
        retry_limit: int = 3,
        retry_delay: float = 1.0,
    ) -> None:
        self.http_conn_id = http_conn_id
        self.method = method.upper()
        self.base_url: str = ""
        self._retry_obj: Callable[..., Any]
        self.auth_type: Any = auth_type
        if retry_limit < 1:
            raise ValueError("Retry limit must be greater than equal to 1")
        self.retry_limit = retry_limit
        self.retry_delay = retry_delay
    async def run(