How long does the N3DS battery last while it's sleeping?

If you put it to sleep, you don’t have to fight it to get rxTools to open. Could just leave it plugged in. That might ruin the battery though. You can probably buy a new battery for cheap though. Will it work plugged in if you take the battery out?

Plug it in every night.

Update
Looks like it lasts a long time in while sleeping. Didn’t lose a bar. That’s good to know, now I can keep my N3DS on 24/7 too.