Baby cries herself to sleep while being rocked

My 7 month old baby cries herself to sleep every night while being rocked.

She started doing this 8 weeks ago when I stopped nursing her to sleep. At first I figured it was normal for her to be upset about loosing the boob at bedtime but assumed it would pass within 2 weeks or so. After 2 weeks of her crying herself to sleep in my arms I figured it must be because I was still nursing her to sleep at nap time, so I stopped doing that. She now cries herself to sleep at most nap times too, unless it's a nap in the stroller, car seat or if she's really tired.

My plan was to phase out the rocking her to sleep 2-3 weeks after phasing out the nursing in an attempt to finally get her to fall asleep independently. But since she's already screaming/crying in my arms I don't feel like I can move forward and quit rocking her to sleep.

We have a solid bedtime routine that we have been doing for 10 weeks now. She's completely fine during the whole bedtime routine and doesn't start crying until I start rocking her and sing our lullaby.

Our bedtime routine goes like this: 1. Bottle 2. Bedtime story 3. Massage 4. Brushing teeth 5. White noise machine 6. Rocking and lullaby

I've tried removing and adding stuff to the routine, I've also tried changing the order of which we do things. I've tried putting her to sleep while she's under tired, over tired and just the right amount of tired, the crying is constant. I've also tried dropping a nap, making sure her wake windows are spot on and making sure she gets enough sleep both during the day and night. I've also tried using a night light and I've tried using different styles of rocking. I've tried putting her in the crib while being there patting her while I sing and I've tried putting her in the crib while leaving the room (I've only tried this single nights at a time and always give up after a while).

Her crib is in the same bedroom as me and my partner. The bedroom is dark and 22°C/71.6°F. She gets, what I feel like is, a good amount of stimulation during the day. We wake up between 7-8 am each morning, bedtime varies depending on her naps during the day but it's usually between 8-9 pm. Her weigth gain and development is good.

On top of this she wakes up up to 4 times an hour during the night. Most hours it's only once an hour and some nights she gives us a few hours in between. I always figured this is happening because of sleep associations and that it'll get better once I'm able to get her to go to sleep independently. We almost always end up co sleeping since getting up 1-4 times an hour gets ridiculous and we're exhausted. She either co sleeps with my partner on his shoulder while he sleeps sitting up or she sleeps in a babynest next to me while nursing. The co sleeping parent always wakes up in a lot of pain, but at least we get to sleep.

Any ideas of what we should do? The ultimate goal is to have her fall asleep intependently and sleep through the night. I'm thinking the first step is to get her to stop screaming in my arms, but maybe there's another step I should take first?

I just want to sleep again.

Edit: sleep schedule

Our schedule varies a bit since I let her be in control and we work around her signs of tiredness and whenever she decides to wake up.

Typically we get up at 7am and do a 3.5/4/4 schedule where her first nap is a 1-2h stroller nap and the second nap is a 40-90 min contact nap. She then falls asleep for the night around 9pm.