### 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.
else:
                raise AirflowException(f"Unexpected HTTP Method: {self.method}")
            attempt_num = 1
            while True:
                response = await request_func(
                    url,
                    json=data if self.method in ("POST", "PATCH") else None,
                    params=data if self.method == "GET" else None,
                    headers=headers,
                    auth=auth,
                    **extra_options,
                )
                try:
                    response.raise_for_status()
                    return response
                except ClientResponseError as e:
                    self.log.warning(
                        "[Try %d of %d] Request to %s failed.",
                        attempt_num,
                        self.retry_limit,
                        url,
                    )
                    if not self._retryable_error_async(e) or attempt_num == self.retry_limit:
                        self.log.exception("HTTP error with status: %s", e.status)
                        
                        
                        raise AirflowException(f"{e.status}:{e.message}")
                attempt_num += 1
                await asyncio.sleep(self.retry_delay)
    def _retryable_error_async(self, exception: ClientResponseError) -> bool: