Have you tried checking other people’s cases to see how long it’s been taking them? There’s a few dozen cases on this tracker, maybe you can ask how long it’s been taking to get an update after biometrics:
https://myimmitracker.com/en/ca/trackers/study-permit-tracker.Good luck, I hope you get an answer soon! Also, you should definitely try reaching out to your school and IRCC both given that you start in a month and there’s been no response yet…