This is a mild form of crossbeak (also known as scissor beak). It is usually seen in Easter Egger, Ameraucana, or Araucana stock and typically presents at birth, but can be seen in other breeds and/or develop during adolescence.
Feeding a total diet of dog and cat food is extremely dangeorus. The protein level is way too high, and will likely end up causing damage to her liver and kidneys as they filter out the excess protein, not to mention that many of the other nutritional values are severely out of proportion. She needs to be put on a grower crumble, switched to a layer crumble at 16-18 weeks. Even mild crossbeaks cannot consume a pelleted feed.
Crossbeak cannot be fixed or cured. It may remain the way it is now or continue to progress for the duration of her adolescence. Once she is fully grown it will likely stop any progression. The issue is genetic and you should avoid breeding the bird. There is no guarantee that she will produce crossbeaked offspring if bred, but it is possible, so it's not wise to perpetuate the line.