CIC always recommends ppl no to stay in Canada if they lost their "status" and is very sensitive about it. Your current status is study permit and before the expiry you should decide what to do. if before it expires, you apply for a new permit, then you will be considered as "implied status", and even if the current one expires, you are gonna be fine. But, if you don't apply in this time and your permit expires, you will lose your "status" and you have to apply for "restoration of the status", if you want to stay longer. You can stay in Canada beyond the validity, but it is very much not advisable as it will be recorded in your case. You can search about these terms and get more info. For example, see this link
https://www.canada.ca/en/immigration-refugees-citizenship/services/application/application-forms-guides/guide-5551-applying-change-conditions-extend-your-stay-canada.html
as it is said
If your study permit expires, you cannot study in Canada anymore. So, given that your current permit expires end of march, your school might prevent you from participating in final exams.
Note that even if you apply for visitor visa, you cannot study anymore and you have to drop out of school immediately. Also I don't know if visitor visa is enough for you or not. Sorry my information is limited in these cases.
What I recommend it to check your status of your pr. If almost everything is done, and you know that you are gonna get it soon, apply for another study permit. It's not like that they are gonna give you one immediately. It has 2 months waiting time, in this time, you can stay in Canada legally on implied status and also you can wait for the ppr to comes. You can withdraw your application when you want and receive back the money.
Alternatively, you can leave Canada and change your address immediately.
@tobs