### 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.
obj1 = {"a": 1, "b": "abc", "c": [1, 2, {"d": 10}]}
        def match_obj1(request):
            return request.json() == obj1
        requests_mock.request(method=method, url="//test:8080/v1/test", additional_matcher=match_obj1)
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            
            HttpHook(method=method).run("v1/test", json=obj1)
    @mock.patch("airflow.providers.http.hooks.http.requests.Session.send")
    def test_verify_set_to_true_by_default(self, mock_session_send):
        with mock.patch(
            "airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection_with_port
        ):
            self.get_hook.run("/some/endpoint")
            mock_session_send.assert_called_once_with(
                mock.ANY,
                allow_redirects=True,
                cert=None,
                proxies=OrderedDict(),
                stream=False,
                timeout=None,
                verify=True,
            )
    @mock.patch("airflow.providers.http.hooks.http.requests.Session.send")
    @mock.patch.dict(os.environ, {"REQUESTS_CA_BUNDLE": "/tmp/test.crt"})
    def test_requests_ca_bundle_env_var(self, mock_session_send):