Okay, folks, there is a HUGE difference between 6-month old puppies who literally chewed their way through a fence, and a neighbor who deliberately lets an adult dog roam regardless of laws or dangers the dogs may pose. At 6 months of age, the dogs are just barely ready for formal training, and there is every good chance that they can become well-trained. The fact that they escaped in an unexpected manner, and their owner was exrtemely apologetic, and already has plans to strengthen the fencing is very telling that THIS IS A GOOD NEIGHBOR. This post is NOT the place for threats of SSS, taking the dogs to a far away pound or similar. There are plenty of threads where that is appropriate advice, unfortunately.
Working with the neighbor to strengthen fencing between the yards, adding electric wiring to that fence, securing the dog door so that only your own pets can use it, THOSE are appropriate for this thread. If you know of good dog trainers in your area, recommend them to the neighbor.
OP, I am so sorry that you had to go through this, and I am very happy that you found all your chicks in fairly good shape.