Have you ever gotten into an air conditioning war at your office? For me, absolutely! If you adjust the thermostat just one degree... it's nice in my office but "winter" in the office across the hallway!
You have the two places that are no-no's down but just use common sense for the rest.
I wouldn't suggest bringing a dog into a clothing store or anything like that, places that serve food or of course a "no dogs allowed" place.