Chromebooks have never been worth considering.
Because of the existence of ebay and used business laptops.
As well as the existence of IT Departments in large organisations that give used laptops away for free - especially to people that will do charitable work on it.
For under £200 you can buy very nice used business laptops from ebay. These will come with Windows 10 & 11 Pro licences built into the motherboard. And they can also run Linux like a dream.
Tell us your mobility profile and I'll tell you what sized laptop is best for you.
Will you be carrying it around campus a lot? Or on buses or trains or planes? Or will it sit at home almost all the time? Or be transported in your car boot with short walks where you carry the laptop to a desk?
Are you built like Dwayne Johnson? Or are you built like Ariana Grande?
Once we know what size is best for you, we can start looking at specific deals on used HP, Dell, Lenovo business laptops.
Something with a decent (for a laptop) keyboard on it - as you'll be doing a lot of typing...