Any advice from the cat people?

This is Chili. As you can see she is very floofy. She was not this floofy when I adopted her in August so I was quite expecting it. I have never had a long haired cat so I knew it was going to require more work than my short haired cats but I'm in a bit of a pickle

She is shedding her winter coat crazy bad and crazy fast. My carpet in a matter of days can go from brown to black with how much fur she's losing. She's not super into pets or cuddles and by extension brushing. She let's me brush her for a bit here and there and then it's angry bite time. I have a furminator and a few other brushes and I try my best with them but there are a couple areas she won't let me do

And since she has long whispy thin fur, she is now matting in those areas. I am trying my best to keep up with them and work them out but she is ripping my hands apart. I'm also afraid of hurting her so usually if she makes a loud Yelp I stop and coddle her for a while. it feels like a never ending battle. I do let her complain about it for a bit when I'm brushing the ones on her chest but as soon as I can tell I accidently pulled a bit to hard I'm like IM SO SORRY!

She seems like she takes pride in her coat, like just some of her manorisms makee think that. And I'm afraid if I shaved it she might get depressed over it. She actually takes very good care of her fur I don't think she's matting because she can't take care of it I think she just can't keep up

Her chest and the area on either side of her tail are where I'm currently noticing them. She is much more willing to let me work on the ones by her tail so I get those out pretty easy but the ones on her chest are giving me a hard time

Also I mean look at her coat it's gorgeous

So this is where I would like advice. If you have a cat with a similar situation, how do you keep up? Do you have any tips or recommendations on how to get them out and or prevent them? I've had a bunch of cats before her but as a first time for of owner I'll consider all advice.

Right now I am brushing them out like you do knots, starting at the end and working towards the area near her skin. If their big I cut a chunk of it away but make sure I leave enough that I know I won't be cutting her skin or anything. I don't want to teaumitize her and I don't want to cause an aversion to brushing because that's only going to make it worse. Thank you!

This is a current pic. No matter how much I brush she can dirty that spot under her chin in 5 seconds