Hi, just so you’re aware, the three month grace period to use your Indian passport applies only in the event you are unable to get a passport after acquiring your new nationality.
https://www.cgitoronto.gov.in/eoi.php?id=surrender_certificate
I will admit there is conflicting information on the BLS website as well, and countless people have posted similar queries to yours. So travelling with an Indian passport requires a certain amount of peril on your part. If you do get a CAD passport on time, you could apply for an e-visa. Good luck!