### 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):
            expected_conn = get_airflow_connection()
            conn = self.get_hook.get_conn()
            assert dict(conn.headers, **json.loads(expected_conn.extra)) == conn.headers
            assert conn.headers.get("bareer") == "test"
    @mock.patch("requests.Request")
    def test_hook_with_method_in_lowercase(self, mock_requests):
        from requests.exceptions import InvalidURL, MissingSchema
        with mock.patch(
            "airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection_with_port
        ):
            data = "test params"
            try:
                self.get_lowercase_hook.run("v1/test", data=data)
            except (MissingSchema, InvalidURL):
                pass
            mock_requests.assert_called_once_with(mock.ANY, mock.ANY, headers=mock.ANY, params=data)
    def test_hook_uses_provided_header(self):
        conn = self.get_hook.get_conn(headers={"bareer": "newT0k3n"})
        assert conn.headers.get("bareer") == "newT0k3n"
    def test_hook_has_no_header_from_extra(self):
        conn = self.get_hook.get_conn()
        assert conn.headers.get("bareer") is None
    def test_hooks_header_from_extra_is_overridden(self):
        with mock.patch("airflow.hooks.base.BaseHook.get_connection", side_effect=get_airflow_connection):
            conn = self.get_hook.get_conn(headers={"bareer": "newT0k3n"})
            assert conn.headers.get("bareer") == "newT0k3n"
    def test_post_request(self, requests_mock):