### 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.
if conn.port:
                self.base_url = self.base_url + ":" + str(conn.port)
            if conn.login:
                auth = self.auth_type(conn.login, conn.password)
            if conn.extra:
                try:
                    _headers.update(conn.extra_dejson)
                except TypeError:
                    self.log.warning("Connection to %s has invalid extra field.", conn.host)
        if headers:
            _headers.update(headers)
        if self.base_url and not self.base_url.endswith("/") and endpoint and not endpoint.startswith("/"):
            url = self.base_url + "/" + endpoint
        else:
            url = (self.base_url or "") + (endpoint or "")
        async with aiohttp.ClientSession() as session:
            if self.method == "GET":
                request_func = session.get
            elif self.method == "POST":
                request_func = session.post
            elif self.method == "PATCH":
                request_func = session.patch
            elif self.method == "HEAD":
                request_func = session.head
            elif self.method == "PUT":
                request_func = session.put
            elif self.method == "DELETE":
                request_func = session.delete
            elif self.method == "OPTIONS":
                request_func = session.options