Personally, the public officer returned my ??????????????? ???????????? and asked my child’s birth certificate translation. Luckily I had one on me. It’s just a loose translation on A4 paper, not offically sealed.
NOTE. This post is only intended to be a supplementary material. Even this list may not be enough for some public inspectors. Good luck!
In case you want to a rough estimation of your points in advance, please refer to this website for English or the following table in Korean: