Suggestion for this:
1. Produce a brood.
-Pick a base animal of some sort and do it. That gives it, at least, 3 traits. The one it has to start with, one from you, one random.
2. Stockpile Ambrosia.
-A Great Beast (w/ 1 Ambrosia) has 2 traits from the parent and 2 random added to it. Do this with a brood and you have, at least 7 traits.
3. Add 4 Ambrosia (each Ambrosia adds 1 and 1).
You'll have a brood (3 traits) + baby (2 traits) + 4 Ambrosia (8 traits) = 13 traits. And that's if nothing weird happens, which is possible, given the magnitude.
You have your mission and you know how to get there. Godspeed, my starcrossed Hugger.