Do you live in Omaha? I found that if you're in Omaha you can file for a pet advocation permit.
"*Note: Omaha residents may apply for a pet avocation permit which allows up to 5 dogs and up to 6 catsóbut no more than 8 pets total. An initial inspection fee of $100 is required at the time of application. An annual $50 permit fee is required thereafter. Pet Avocation Permit Applications are available at the Nebraska Humane Society and can be picked up at the front desk during business hours."
And it looks like a few other cities/counties have permits you can apply for to own more than three dogs. You may even be allowed to file for a kennel permit.
Or there's the old fashioned way and you just adopt the cutie and play dumb should you get reported (which, odds are you wouldn't). You would give the pup a wonderful home and since that's what they want they should be fine with the adoption.
I actually had someone report me to the ASPCA (I had reported them after I found out they killed a whole bunch of mice by placing them in a tupperware container and let her other animals starve so they decided to "get back" at me) and at that time I had 5 cats and 2 dogs, which technically broke the ordinance (we could have 6 total animals) but after explaining the situation to the agent and letting them know why they were called to begin with, the agent could see my home and my animals in great (if not spoiled) condition, they said "Well.. I only see two dogs and two cats so you're fine", even though I had told him how many lived there. So, even if an agent is called you may get an agent who actually cares about the home and the animal's care rather than a number (now, if you push it to 10 dogs I don't think they could ignore that :P ).
....(sorry for blathering on