I cant be sure but i have seen passports coming in for people who applied in June already, even a case of july. It was not an urgent passport, standard application at service canada without any urgency.
see this no extra cost... Just visit any Service canada and request for transfer of file!
FACT: So long as your application is complete, you will not be charged additional fees if we do not meet our published service standards. This includes transfer and pick-up fees.
see this please? if it applies to you?
“If your travel is scheduled in the next week and you have mailed in your passport application or applied at a non-passport Service Canada Centre and you do not have your passport, you should go to the nearest passport office to request a transfer of your...
By the way why did you mail it? You should have submitted in a regular service canada where they take the fees and generate the file number right away. And then after 20 business days you can expedite without being charged anything extra.