Yes I am aware of that but that is the case when applying for INDIAN documents like Passport, Aadhar Card etc but then CIC does not give a crap. It is very unlikely that they are going to ask for the BC [from what other forum members are saying] but if they do, you must be in a position to get it.
Otherwise, you can try getting a written explanation from the concerned govt. office telling that the birth certificate cannot be issued. I think that will be acceptable.
Thanks,
Raj