### 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.
if self.method == "GET":
            
            req = requests.Request(self.method, url, params=data, headers=headers, **request_kwargs)
        elif self.method == "HEAD":
            
            req = requests.Request(self.method, url, headers=headers, **request_kwargs)
        else:
            
            req = requests.Request(self.method, url, data=data, headers=headers, **request_kwargs)
        prepped_request = session.prepare_request(req)
        self.log.debug("Sending '%s' to url: %s", self.method, url)
        return self.run_and_check(session, prepped_request, extra_options)
    def check_response(self, response: requests.Response) -> None:
        """Check the status code and raise on failure.
        :param response: A requests response object.
        :raise AirflowException: If the response contains a status code not
            in the 2xx and 3xx range.
        """
        try:
            response.raise_for_status()
        except requests.exceptions.HTTPError:
            self.log.error("HTTP error: %s", response.reason)
            self.log.error(response.text)
            raise AirflowException(str(response.status_code) + ":" + response.reason)
    def run_and_check(
        self,
        session: requests.Session,
        prepped_request: requests.PreparedRequest,
        extra_options: dict[Any, Any],
    ) -> Any: