The colors refer to variations in wavelength (light ~ sound) adjusted to human perception of soundwaves (https://tinyurl.com/3bzy7a7s). It helps muffle ambient sound that might distract your brain. Studies show they have effects: brown = executive function/memory, pink = sleep/concentration, green = calming, white = productivity/annoying.

Dark noise isn't an accepted term, it's a marketing term for a tweaked version of brown noise

This ^^^

I use brown noise sometimes to focus. It’s like an auditory blank wall.

I’m sure I could train my brain to ignore the random sounds around me, since I grew up in a not super noisy city.

It really does help me ignore the distracting sounds. It gives my easy something to focus on rather than distracting noises.

I have noticed that shoegaze/wall-of-sound music can work well for this, eg. My Bloody Valentine. With the added benefit of being music.