### 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.
def run_and_return(unused_session, prepped_request, unused_extra_options, **kwargs):
            return prepped_request
        
        with mock.patch(
            "airflow.providers.http.hooks.http.HttpHook.run_and_check", side_effect=run_and_return
        ):
            with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
                prepared_request = self.get_hook.run("v1/test", headers={"some_other_header": "test"})
                actual = dict(prepared_request.headers)
                assert actual.get("bareer") == "test"
                assert actual.get("some_other_header") == "test"
    @mock.patch("airflow.providers.http.hooks.http.HttpHook.get_connection")
    def test_http_connection(self, mock_get_connection):
        conn = Connection(conn_id="http_default", conn_type="http", host="localhost", schema="http")
        mock_get_connection.return_value = conn
        hook = HttpHook()
        hook.get_conn({})
        assert hook.base_url == "http://localhost"
    @mock.patch("airflow.providers.http.hooks.http.HttpHook.get_connection")
    def test_https_connection(self, mock_get_connection):