Why even bother to sleep

I'm so fucking exhausted. I'm enraged. My 8 month old has a double ear infection, for the past two weeks I haven't slept longer than a hour and a half and then on top of it, if takes nine million aTtemps to successfully transfer her to the crib. All and all, I'm maybe getting 3 hours of solid sleep a night. It is mental torture. On top of it, I live with my mom who gets mad/guilt trip me for napping on the weekends “because she never got to nap”. She gets 8 hours plus of uninterrupted sleep, sleeps in til 8 am and tells me she is the one who is “actually tired”. I'm in my 20s, so naturally getting next to none sleep doesn't affect me at all!!! Yeah right. So bs. This shit makes me even more enraged fo think about when I'm up with the baby all night.