One immigration lawyer was telling me that you can apply for paper based PR which takes much longer, but as soon as you apply- you can apply for bringing work permit( because you already applied for PR. It will take about 6 month until they will start to check your application, so your work permit might be already approved. Try to talk to immigration lawyer by yourself, it might be costly, but I believe it's the only way to keep working here, in this situation.
IRCC doesn't appreciate people filing under false pretenses and they often scan application to pick out people trying to do exactly this and refuse their application much earlier. I also don't understand how anyone is going to fill out a paper PR application with no grounds to file a PR application.