### 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,
        method: str = "POST",
        http_conn_id: str = default_conn_name,
        auth_type: Any = None,
        tcp_keep_alive: bool = True,
        tcp_keep_alive_idle: int = 120,
        tcp_keep_alive_count: int = 20,
        tcp_keep_alive_interval: int = 30,
    ) -> None:
        super().__init__()
        self.http_conn_id = http_conn_id
        self.method = method.upper()
        self.base_url: str = ""
        self._retry_obj: Callable[..., Any]
        self._auth_type: Any = auth_type
        self.tcp_keep_alive = tcp_keep_alive
        self.keep_alive_idle = tcp_keep_alive_idle
        self.keep_alive_count = tcp_keep_alive_count
        self.keep_alive_interval = tcp_keep_alive_interval
    @property
    def auth_type(self):
        return self._auth_type or HTTPBasicAuth
    @auth_type.setter
    def auth_type(self, v):
        self._auth_type = v
    
    
    def get_conn(self, headers: dict[Any, Any] | None = None) -> requests.Session: