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No. You are allowed to be awake at 1am. So long as you’re not making the noise, then their dog barking is their issue not yours
See if you can get a dog whistle (also known as silent whistle or Galton's whistle) is a type of whistle that emits sound in the ultrasonic range, which people cannot hear but some other animals can, including dogs and domestic cats, and is used in their training. ... To human ears, a dog whistle makes only a quiet hissing sound. This way you could train the dog not to bark when you go outside your own house.
Op - I'm going outside to hang washing and put rubbish out, or even going into my garage to get in my car to leave for work. Dog is very disgruntled about everything I do! I am very quiet about the activities but the dog still barks
I wouldn't worry too much, they can't make a complaint about their own dog barking 😂. The dog is just doing what dogs do, it's protecting it's owners while they sleep. It's not a bad thing. If they get annoyed by it they can bring it inside but it's not your problem as long as you aren't making noise.
In regard to the insomnia get some melatonin prescribed it's been a game changer for my sons insomnia
The dog is being a guard I guess and alerting. But it is the owners responsibility in regards to it barking. I wouldn’t worry people usually ignore it unless it carry’s on for hours