### 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.
"""Create a Requests HTTP session.
        :param headers: additional headers to be passed through as a dictionary
        """
        session = requests.Session()
        if self.http_conn_id:
            conn = 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
            if conn.port:
                self.base_url = self.base_url + ":" + str(conn.port)
            if conn.login:
                session.auth = self.auth_type(conn.login, conn.password)
            elif self._auth_type:
                session.auth = self.auth_type()
            if conn.extra:
                try:
                    session.headers.update(conn.extra_dejson)
                except TypeError:
                    self.log.warning("Connection to %s has invalid extra field.", conn.host)
        if headers:
            session.headers.update(headers)
        return session
    def run(