### 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.
from requests.exceptions import MissingSchema
        with mock.patch(
            "airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection_with_port
        ):
            expected_url = "http://test.com:1234/some/endpoint"
            for endpoint in ["some/endpoint", "/some/endpoint"]:
                try:
                    self.get_hook.run(endpoint)
                except MissingSchema:
                    pass
                mock_request.assert_called_once_with(
                    mock.ANY, expected_url, headers=mock.ANY, params=mock.ANY
                )
                mock_request.reset_mock()
    def test_get_request_do_not_raise_for_status_if_check_response_is_false(self, requests_mock):
        requests_mock.get(
            "http://test:8080/v1/test",
            status_code=404,
            text='{"status":{"status": 404}}',
            reason="Bad request",
        )
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            resp = self.get_hook.run("v1/test", extra_options={"check_response": False})
            assert resp.text == '{"status":{"status": 404}}'
    def test_hook_contains_header_from_extra_field(self):