Been here twice and both times the food and service were impeccable. It’s pricey, but worth the cost. Be sure to get a reservation because they get very busy. I had to sit at the bar the first time because I was unaware of this, but it was still fantastic.
If you have a gluten allergy - be aware that they do have gluten buns and you have to specifically request gluten free. Outside of that, I am fairly certain the rest is gluten free.