Hello I actually have a REST api running on Cloud Functions for Firebase using http request, but now I need to sync the data on real time requesting to the functions. I read
Theoretically you could use two different layers: one to manage the websocket connections and another layer to handle the data processing.
The websocket layer will not be Cloud Functions, but a Docker container running Push Pin in Cloud Run and that’ll route HTTP calls to your Cloud Functions to do the actual data processing.
This is not going to be a good fit for Cloud Functions. Websockets rely on long-lived connections to the same server over time; Cloud Functions are ephemeral compute instances that are spun down when there's no traffic. There's no way to force or guarantee that a Cloud Function will keep running or hold a connection open indefinitely.
I would encourage you to investigate using the Firebase Realtime Database as a conduit here instead of trying to add realtime to Cloud Functions.