To me it's obvious that a dragonborn racial move would have to incorporate the breath weapon somehow. At least when playing with 11-year-olds. So:
Dragonborn breath
You breathe forth a plume of fire, ice, acid mist or lightning (choose one at character creation, then always use that one). Anyone within its reach takes 2d4 damage.
is a cantrip for you.
I'm a bit unsure about the balance. This is essentially a close-range magic missile as a cantrip, as compared to the Elf racial which gives an ordinary Detect Magic as a cantrip. An alternative is to make it 2d6 damage, i.e. a close-range fireball, and have it count as a level 1 move that you have for free (but need to prepare). That's a bit weird though, because it's not really a spell. If it's a cantrip you get away with it because the spellcasting move fits: on a 7-9 you put yourself in a spot, mess up your future spellcasting (including firebreathing) or lose the ability temporarily (run out of fire oil in your belly). They kinda work for the breath weapon.