I will never not be angry at every time I see a version of this question, and there are always otherwise perfectly sensible people (on ask a manager, on Captain awkward, etc.) who are all in favor of saying that the dogs in the dog friendly office should win.

I am incredibly allergic to some dog hair. I can't breathe in offices where dogs regularly are present. With the obvious caveat that there are exceptions for service animals, and the conflicting needs around service animals versus other health issues are quite genuine (although people who have the help of service animals are usually much more cognizant of taking care of the problems), dogs do not belong in shared workspaces.

I have walked away from job offers because it wasn't until after I got the offer that they were excitedly telling me that one of the benefits was a dog friendly office.