Hard though it is, the narrative that these dogs are winding yours up needs to go. I honestly understand how tempting it is to think that but it doesn't help you help your dog get past it.
It's a noise and your dog will be capable of learning the noise has no meaning at all to their life.
Right now the noise has meaning.
Noise happens > they feel agitated in some way > you feel agitated in some way = the noise is bad.
You can change this story. Partner the barking with something nice that your dog likes. Probably treats.
Dog barks > your dog gets a treat = the noise is good
Do this often enough the noise next door ceases to have a bad connection for your dog and, instead, starts to have a good one. Keep little pots of treats close by, all over the house, so one is never out of reach. Once the dog starts to hear the noise as the chance of something good, you can slowly drop the frequency of treats, working your way to the point where they get treats if the noise happens and they don't so much as lift their head in response.
You also support this by (other than the treat) never once reacting to the noise yourself. No lifting your own head, no sighning, cursing under your breath, rolling your eyes etc.
None of which is meant to excuse the dogs next door being left to bark or to say you are somehow 'bad' for finding the noise hard to live with. It would drive me mad, too.
But is how you help your goldie to learn to ignore the barking. (It is how I helped my dog stop reacting to the noisy lurchers next door - which, in turn, helped the lurchers relax and the general noise levels go down.)