Wassalam brother, and thanks for your post.
Its a good trait that your mother has, that she has so much patience, and you too, seems to have inherited that from her, which is a good thing after all. The hardship that you undergo now, you will see that it will help you throughout life to make you more resilient and able to handle different situations.
Although your mother is that patient, there is no reason for her to put up with all the noise and harassment. There is just no need for all this, to put up with toxic neighbours, whose job is only to make noise with ventilators and banging doors and whatever goes with it. Dont they have any other work besides standing there and banging doors?:hiding:
I just want to suggest to you this, while going to sleep, recite 'ya Salaamu' continuously until you fall asleep, and as for the music, it will only increase the anxiety, so best is to not listen to it.
About having a talk with the neighbours, give it a last try, and if you approach them in a non-hostile manner that could help your side.
It must be so tiring not being able to rest or sleep. About the house issue, Id say dont turn it into an argument as this will lead to no where. You could just go ahead with your plans and do what you think is best. Rather not argue with your mother because she will just get angry, and you will just get more stressed out.
Also, always have a good opinion of Allah swt in all conditions.