This is just Dave & Buster's in disguise, and looking at their menu, even two of handhelds that can be served with a gluten free bun aren't actually gluten free, not that they have any mention of that under "Buster's American Kitchen".
Wasn't able to order anything, even the korean wings weren't gluten free, and the only reason I know is by looking up the allergen menu from Dave & Buster's.
— Not at all
— No gluten-free information on the menu
— Not Much