What experience does your family have when it comes to IT procurement?
Or IT support?
You are so so right to want to spend less than £1100 on a laptop.
They are so so wrong for telling you to spend more than £1100 on a laptop.
You haven't mentioned your mobility profile. That's as good a place as any for starting to establish what laptop you should buy.
The right laptop for a student that's built like Tyson Fury would not be the right laptop for a student built like Ariana Grande.
The bigger the better for working on. The smaller the better for carrying around.
Someone transporting their laptop by car with short walks with the laptop from wherever they park their car, is a different kettle of fish to someone with a 2 mile walk to campus every day.
Tell me your mobility profile and I can give you specific laptop recommendations.
Whilst Apple M2's and M3's are nice machines in some ways, in others they're not all that.
Modern Linux, eg Debian with KDE Plasma makes macOS look crap in several key respects.
Windows 10 and 11 are pretty pants, but you can install Linux for free on any Windows laptop.
Dell Precision (7xx0 series) mobile workstation laptops make Apple M3's look crap in several respects.
As do HP 830, 840, 850 laptops.
Apple's policy of soldered RAM, soldered SSD's, glued in batteries is terrible from a longevity and future repair point of view.
With a properly engineered laptop, one with a removable SSD, if you ever need more storage space, you just go and buy a bigger SSD and install it.
A great way to shut your family up, would be for you to buy a fully working used premium business laptop for £150ish.
And for you to use that to support your studies and for personal use. And to chuckle to yourself whenever you remember how little you paid for it.
Your parents are so so wrong for calling you a cheapskate.
A key question for happiness and contentment in life is "What else?"
EG what else could I do with my time apart from what I'm doing now? If it's something better, do that.
EG what else could you buy apart from a new M2 or M3? If it's something worse in some ways, better in some ways and overall at least as good for what you will be doing on it, that costs £180; buy that!
Another key for happiness and contentment in life is to get on well with the people around you. One factor in doing that is in not being negative and criticising the people around you, especially when they don't deserve criticism.
A laptop is a tool for job. It makes sense to spend as little as you can on your tools, whilst still having great tools for what you will be doing with them.
You have my moral support in fighting against the overbearing ignorant interference of your family.