When management saw you had three dogs, did you confess you "owned" them or are they assuming you do? If not, how can they proove that 3 live with you? Couldn't you just be "sitting" for the extra dog at the time your neighbor's saw you with them?
I'm sure there is nothing in your contract or condo association "laws" that state you can't care for or have visiting dogs at any given time?
Good luck with that, and i agree, with others, you can get a lite seditive or Benadryl for the flight...