I think this cartoon is very relevant here.
Yes, I do mind if you distract me, while I’m doing something else!
Attribution: I couldn’t find the orginal post on Instagram, but the cartoon is by SteinbergDrawsCartoons, and his website is here, and his cartoons are prety good IMHO.
A pair of headsets will do. They could be fake, for that matter.
For some reason people will tend to disturb you more easily if you are working than if you are listening to music 🤷