### 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.
"""Interact with HTTP servers.
    :param method: the API method to be called
    :param http_conn_id: :ref:`http connection<howto/connection:http>` that has the base
        API url i.e https://www.google.com/ and optional authentication credentials. Default
        headers can also be specified in the Extra field in json format.
    :param auth_type: The auth type for the service
    :param tcp_keep_alive: Enable TCP Keep Alive for the connection.
    :param tcp_keep_alive_idle: The TCP Keep Alive Idle parameter (corresponds to ``socket.TCP_KEEPIDLE``).
    :param tcp_keep_alive_count: The TCP Keep Alive count parameter (corresponds to ``socket.TCP_KEEPCNT``)
    :param tcp_keep_alive_interval: The TCP Keep Alive interval parameter (corresponds to
        ``socket.TCP_KEEPINTVL``)
    :param auth_args: extra arguments used to initialize the auth_type if different than default HTTPBasicAuth
    """
    conn_name_attr = "http_conn_id"
    default_conn_name = "http_default"
    conn_type = "http"
    hook_name = "HTTP"
    def __init__(