it looks like it was ran over by a car

Hey, so i bought a A1932 Macbook Air, i believe that it's from 2019 just like yours. It has an obliterated screen, really, it looks like it was ran over by a car. The main problem is that it has extreme throttling aswell, as soon as i turn it on the fans start slow and go to full speed in 20-30 seconds. I formatted it and now i can't event get it to install macOS because of the slowness, most of the times it gets stuck on the Apple logo after it completes the internet recovery loading bar. It's also worth mentioning that it doesn't turn on unless i plug it into the power. I am deciding whether if i should buy a new screen, that, to my knowledge, has temperature sensors taht may be broken due to the damage or if i should buy a new battery by reading this post. Thanks a lot