### 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.
requests_mock.get("http://test:8080", status_code=200, json={"status": {"status": 200}}, reason="OK")
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            status, msg = self.get_hook.test_connection()
            assert status is True
            assert msg == "Connection successfully tested"
    def test_connection_failure(self, requests_mock):
        requests_mock.get(
            "http://test:8080", status_code=500, json={"message": "internal server error"}, reason="NOT_OK"
        )
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            status, msg = self.get_hook.test_connection()
            assert status is False
            assert msg == "500:NOT_OK"
    @mock.patch("requests.auth.AuthBase.__init__")
    def test_loginless_custom_auth_initialized_with_no_args(self, auth):
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            auth.return_value = None
            hook = HttpHook("GET", "http_default", AuthBase)
            hook.get_conn()
            auth.assert_called_once_with()
    @mock.patch("requests.auth.AuthBase.__init__")
    def test_loginless_custom_auth_initialized_with_args(self, auth):