### 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.
self,
        endpoint: str | None = None,
        data: dict[str, Any] | str | None = None,
        headers: dict[str, Any] | None = None,
        extra_options: dict[str, Any] | None = None,
    ) -> ClientResponse:
        """Perform an asynchronous HTTP request call.
        :param endpoint: Endpoint to be called, i.e. ``resource/v1/query?``.
        :param data: Payload to be uploaded or request parameters.
        :param headers: Additional headers to be passed through as a dict.
        :param extra_options: Additional kwargs to pass when creating a request.
            For example, ``run(json=obj)`` is passed as
            ``aiohttp.ClientSession().get(json=obj)``.
        """
        extra_options = extra_options or {}
        
        
        _headers = {}
        auth = None
        if self.http_conn_id:
            conn = await sync_to_async(self.get_connection)(self.http_conn_id)
            if conn.host and "://" in conn.host:
                self.base_url = conn.host
            else:
                
                schema = conn.schema if conn.schema else "http"
                host = conn.host if conn.host else ""
                self.base_url = schema + "://" + host