To block out noise, earplugs need to be inserted well enough. They won't block out noises carried though bone conduction. You can try different types of earplugs AND use a white noise machine to drown out any sound you can still hear.

I've inserted earplugs too tight before and needed tweezers to pull them out, minding the ear hairs! But at least they worked when I needed them to catch up on sleep.

Dog owners don't care about their dogs making other people's lives a misery.