Hello,
I'm on the same boat, start working in November 2020 in Montreal. Living in Montreal. Want to go throught EE November 2021. Not sure how about the result, but as long as you can proof that you will leave quebec after getting PR, it should be fine. But i will try it.
At the same time i'm going to apply to CSQ, just in case if i get reject from EE.
IRCC and MIFI share information with each other. Having a CSQ will highly increase your chances of being rejected on EE application and IRCC will advice you to apply through QSWP.