Yes but small
No, but they are good about substitutions and customizing the order to remove what you dont want.
Friend with very bad celiac issues has eaten there with no problems.
No gluten free menu but a rather 2 - 3 items that are gluten free / vegan.
Yes. However it is limited. It's a burger after all. Overall you'll enjoy the atmosphere, the staff, and the great food!
I'm sure they do
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