By the rules set in Aladdin you could actually get unlimited wishes by turning other people into Genies and getting 3 more wishes

In Aladdin they established that you cannot wish for more wishes. However, they also showed that a person can make a wish to turn someone into a Genie when Jafar was tricked into wishing for just that.

Therefore with 3 wishes you could; 1. I wish for x 2. I wish Jasmine were turned into a Genie 3. I wish for your freedom Pick up Jasmine's lamp 1. I wish for x 2. I wish the Sultan were turned into a Genie 3. I wish for your freedom Rinse and repeat