### 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.
retry_args = dict(
            wait=tenacity.wait_none(),
            stop=tenacity.stop_after_attempt(7),
            retry=tenacity.retry_if_exception_type(requests.exceptions.ConnectionError),
        )
        def send_and_raise(unused_request, **kwargs):
            raise requests.exceptions.ConnectionError
        mocked_session().send.side_effect = send_and_raise
        
        with pytest.raises(tenacity.RetryError):
            self.get_hook.run_with_advanced_retry(endpoint="v1/test", _retry_args=retry_args)
        assert self.get_hook._retry_obj.stop.max_attempt_number + 1 == mocked_session.call_count
    def test_run_with_advanced_retry(self, requests_mock):
        requests_mock.get("http://test:8080/v1/test", status_code=200, reason="OK")
        retry_args = dict(
            wait=tenacity.wait_none(),
            stop=tenacity.stop_after_attempt(3),
            retry=tenacity.retry_if_exception_type(Exception),
            reraise=True,
        )
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            response = self.get_hook.run_with_advanced_retry(endpoint="v1/test", _retry_args=retry_args)
            assert isinstance(response, requests.Response)
    def test_header_from_extra_and_run_method_are_merged(self):