Tired mama and fussy baby

It’s a normal part of breastfeeding. Formula fed doesn’t do that ( I’m pretty sure)

I've heard there are some pacis that mimic the breast very well if im not mistaken one is called paci something? Maybe try keeping track of when she ate and seeing her cues for hunger vs comfort and try offering a paci at times of comfort to give urself some rest

She utterly refuses her paci now. She just screams and screams and screams.

She roots all the time and wants only me.
Its been like that for 3 days

It sounds likely to be a growth spurt/cluster feeding to boost your supply. It's common around 2 weeks and it will likely only last a few days in that case before her feeding gets more predictable again.

That said, if she's not swallowing, then yes, it sounds like suckling for comfort. During the day, I would set up on the couch with my stuff in reach and baby horizontal on the nursing pillow latched. When he stopped swallowing, I would give it a short time and then try popping him off the nipple but otherwise let him sleep in place. If he rooted/woke up enough to get upset, I could easily guide him back on, but if he didn't, my nipple got a break.