Keep your puppy outside was a great decision. Inside seating is close, most tables within inches of each other. Dogs are usually welcome at outdoor seating.
I think as long as you and your baby are outside.
We just brought our 6 month old large puppy and they were happy to have him. We were seated on the outdoor side patio. There were a handful of diners, but no issue with being seated too close or with space. They were very accommodating and super friendly.
You should call them, there is an outdoor patio but I'm not sure its doggy appropriate...very close seating :(.
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