A year and a half ago we picked up the birth certificate where we got the receipt (NHA, by Lulu)... But things change. So, go where they told you, and if it turns out to be wrong (as often happens here) go back to NHA.

Just don't forget to go to your embassy to get a passport and whatever other paperwork they require since you'll need to get an RP as quick as possible for the baby so you aren't fined. There is barely enough time to do all this in the required time, but it's possible. Good luck!