3 month old won’t nap 😩

Going slightly crazy. She doesn’t nap unless my boob is in her mouth. She could be completely passed out and I go to transfer her she just wakes up. I can’t get anything done ever. Makes it hard to take care of my other child. She won’t take a pacifier and is so fussy. She’s only happy in the morning after a decent sleep stretch. She eats every 45 min. My nipples feel like they are gonna fall off. Her eyes can be so red/purple from exhaustion. I try to rock her as much as I can so she’ll sleep. SOS