If your PL and House Rules don't mention a "no dog" rule, then there isn't a rule banning dogs. I agree that mgt seems to be copping out with the case by case basis.

I would email the Board and cc the Board's atty asking if there is a rule prohibiting non-service dogs and to please provide it for your records. (Service animals must be allowed if medical documentation is provided)

If they can't give you written proof that dogs are not allowed, then you ARE allowed to have them. The email is your paper trail.

Good luck.