In my braces-less days, I loved raw broccoli. Plain, with dip... whatever!
I tried a piece the other day. It took HOURS to stop finding wee green bits in my mouth/laced through my brackets, and this is AFTER multiple brushings, water-pik-ing and rinsing with mouthwash.
So until these braces come off, I am a cooked broccoli kinda gal.
Chalk that up as another food that is (near) impossible to eat with braces on!