Yea, she is a Basenji, and a pretty darn cute one at that! My B, stays in and out of my house all the time when I am gone. I also have a doggie door, but also underground fencing, where you have the chainlink. I don't see a problem with it except that she might get into your things in the house. Basenji puppies like to chew things, at least mine does, when she was younger I use to come home to chew marks here and there. I close off part of the house, (living room, bathrooms, and bedrooms). She might be good though b/c you have the other 2 dogs for her to play with, I just want to make you aware of this behavior, they are very curious and like to investigate. My B will dig to get rid of energy, she likes to dig in the corners of my sofa, looking to hide her treats, and sometimes just to dig. I am trying to change that behavior now, outside OK, not inside. These dogs are very loving, and loyal to their other pack members, bet when she is older that she will be the head of the pack. Good Luck!