How can I noise cancel a specific annoying sound?

I’d do it with an arduino, use a microphone to listen for the specific sound and trigger the opposite sound (which you’ll have prepared ahead of time and saved). Arduino programming is pretty straightforward. And now with AI you could probably just prompt one of the top five ai products for the code.

Then it’s a question of getting the sound projected in the right direction. You’ll probably want a speaker array pointed towards the source of the sound. I think a soundbar might be a good start.

In the short term headphones with active noise cancellation work great. I use earbuds under comfortable hearing protection.

I also like the wire cutters idea. I hate those alarms.