Looking for advice about this letter to neighbor about dog noise

My upstairs neighbor got a dog around a month ago and I have not had a full nights rest since. Someone is up with the dog until around 11pm and then someone else gets up for work around 3:30am and they let the dog chase its ball around the entire time. I work full time and go to school full time, so at night is quite literally the only time I have to sleep. I have since developed a constant eye twitch which my doctor contributes to lack of sleep. And for anyone thinking “file a complaint with the landlord” I told the landlord and they said they don’t get involved with “tenant disputes” which is fucking bullshit in my opinion but I’m not in a position right now to move somewhere else.

I live in upstate NY and we have gotten a ton of snow this year so when this has happened, I just banged on the ceiling. Our apartment is on a hill so my entrance is at the bottom of the hill on one side and their entrance is on top of the hill on the other side. Meaning, to go and knock on their door I would have to walk up hill in about 2 feet of snow in the middle of the night to ask them to control their dog. So instead I banged on the ceiling to which they replied by stomping. Not off to a great start, but it seems like something they should understand.

So anyways, can anyone please give me advice on this note on what I could add/ take away?

I am writing to ask you to please keep the noise level down late at night/ early in the morning. As you may or may not know, my bedroom is directly below your living room, so when the dog is running around it sounds like I live under a bowling alley. I have not gotten a full nights rest since you got the dog and it is starting to affect me physically and mentally. Usually I would have come up and asked politely when the noise was occurring, but given the late hours and the snow outside, I resorted to banging on the ceiling and I do apologize for that. I understand we are all trying to live our lives here, and I try to be as considerate a neighbor as possible, so I am asking the same in return. Please abide by the quiet hours listed in our lease so we can all live peacefully.