This would be much more doable in the warm months, with their outside seating. A class of 12 would take up most of their indoor space
This is a pretty small shop and that close to probably half of their capacity during a busy time. I would call and see what they can work out for you.
I think as long as you let them know about you coming, you could do it. It would be a tight fit, but the staff is super friendly and willing to accommodate:)
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