### 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.
with mock.patch(
            "airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection_with_port
        ), mock.patch(
            "requests_toolbelt.adapters.socket_options.TCPKeepAliveAdapter.send"
        ) as tcp_keep_alive_send, mock.patch(
            "requests.adapters.HTTPAdapter.send"
        ) as http_send:
            hook = HttpHook(method="GET", tcp_keep_alive=False)
            response = Response()
            response.status_code = HTTPStatus.OK
            tcp_keep_alive_send.return_value = response
            http_send.return_value = response
            hook.run("v1/test")
            tcp_keep_alive_send.assert_not_called()
            http_send.assert_called()
send_email_test = mock.Mock()
@pytest.fixture
def aioresponse():