Yes on the patio, open seasonally. There's 7+ tables with first come first serve seating availability
Only if you can find seating on the relatively small and usually crowded outdoor patio (Only open during summers). I wouldn't count on it.
As much as I like Black Raven, Post Doc is much better place for dogs. Also Cairn in Kenmore it's great for dogs, and good beer
If there's room in the patio
Plan ahead. It can get crowded every now and then, which can upset even the mildest dog.
Agree with the above two answers. If you're looking for a slightly more dog friendly brewery, I would suggest Postdoc outside of Marymoor.
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