### 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.
"""Run the hook with retry.
        This is useful for connectors which might be disturbed by intermittent
        issues and should not instantly fail.
        :param _retry_args: Arguments which define the retry behaviour.
            See Tenacity documentation at https://github.com/jd/tenacity
        .. code-block:: python
            hook = HttpHook(http_conn_id="my_conn", method="GET")
            retry_args = dict(
                wait=tenacity.wait_exponential(),
                stop=tenacity.stop_after_attempt(10),
                retry=tenacity.retry_if_exception_type(Exception),
            )
            hook.run_with_advanced_retry(endpoint="v1/test", _retry_args=retry_args)
        """
        self._retry_obj = tenacity.Retrying(**_retry_args)
        return self._retry_obj(self.run, *args, **kwargs)
    def url_from_endpoint(self, endpoint: str | None) -> str:
        """Combine base url with endpoint."""
        if self.base_url and not self.base_url.endswith("/") and endpoint and not endpoint.startswith("/"):
            return self.base_url + "/" + endpoint
        return (self.base_url or "") + (endpoint or "")
    def test_connection(self):
        """Test HTTP Connection."""
        try:
            self.run()
            return True, "Connection successfully tested"
        except Exception as e:
            return False, str(e)
class HttpAsyncHook(BaseHook):