The Consulate says :Easy for you, get the "Certificate of Date of Birth" from BLS here in Canada. They just need the passport and the form. You will get in 10 days max.
https://www.blsindia-canada.com/cert_dob.php
"This is not a Birth Certificate but a Certificate of the Date of Birth. Applicants are advised to check the acceptability of this Certificate with the authorities before obtaining this Certificate."
Can you or someone confirm it is good for this purpose?