Questions about overlapping yakus scoring points

Hi, gotten quite into this game lately, and while we got most of the rules, the way overlapping yakus can score for the winner remains a bit uncertain to us.

For instance, say you have 6 ribbons, making a Tan (5 ribbons + 1 extra, so 1+1=2 points) and 3 of those ribbons are blue, so there's an Aotan with also an extra ribbon bonus (3 blue ribbons + 3 extras, 5 + 3 = 8 points).

Do you score 10 points because all valid overlapping yakus are in, or do you have to go another way?

Novice question, but I couldn't get any luck finding the answer on the web.