Second guessing before I brute force this and break the cartridge. It should just pull straight out at this point?
There’s a cheap extraction tool that makes this wasaay easier. Don’t try to brute force it!
Just search for cartridge puller and your shower faucet brand
If this is a moen then the guides you’ll find online / YouTube do actually have all of the info you need. I can’t recall if it needs turned a certain way, but the last time I had to remove one I had to brute force it so hard I broke the solder joints of the pipe up to the shower head and had to resolder it. I was on my back in the tub pulling it with all of my strength, feet on either side of the faucet hole. We tried heating it first, and using various spray in lubricants first too. We did have the extraction tool for it too, but it didn’t help for some reason.