So, I applied for Urgent Processing and mailed the documents to Mississauga IRCC yesterday (reason: job that requires Citizenship). I spoke with an agent today and he told me that the Urgent Processing request has been denied because "I don't fit the criteria as I don't have a job offer". For this position, only Canadian Citizens can apply and the application will be immediately rejected if we apply without Canadian Citizenship. Its catch-22.
Anyway, that's a disappointment but that's okay. I was 95% convinced that they will not accept this request but still sent it because I believed it might happen (5% chance).
Also, the agent now confirmed that the passport pages have been added to my file and the status of "Residence", "Prohibitions" and "Language" are "In Progress" on the GCMS system (last time I received notes/called them, it was "Not Started").