### 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.
"""Grab extra options, actually run the request, and check the result.
        :param session: the session to be used to execute the request
        :param prepped_request: the prepared request generated in run()
        :param extra_options: additional options to be used when executing the request
            i.e. ``{'check_response': False}`` to avoid checking raising exceptions on non 2XX
            or 3XX status codes
        """
        extra_options = extra_options or {}
        settings = session.merge_environment_settings(
            prepped_request.url,
            proxies=extra_options.get("proxies", {}),
            stream=extra_options.get("stream", False),
            verify=extra_options.get("verify"),
            cert=extra_options.get("cert"),
        )
        
        send_kwargs: dict[str, Any] = {
            "timeout": extra_options.get("timeout"),
            "allow_redirects": extra_options.get("allow_redirects", True),
        }
        send_kwargs.update(settings)
        try:
            response = session.send(prepped_request, **send_kwargs)
            if extra_options.get("check_response", True):
                self.check_response(response)
            return response
        except requests.exceptions.ConnectionError as ex:
            self.log.warning("%s Tenacity will retry to execute the operation", ex)
            raise ex
    def run_with_advanced_retry(self, _retry_args: dict[Any, Any], *args: Any, **kwargs: Any) -> Any: