lucyhw There are plenty of gaming laptops in this range. Good-quality laptops with an RTX 3050 graphics card, capable of running all these games, all current packs included, on ultra graphics settings, start around £700, and an upgrade to a 4050 is only a bit more. So I'll list what I think are the best options, but if none of them are quite what you want, let me know why, and I may be able to find something else within your budget that better fits your preferences.
These have an RTX 3050 and therefore should all run these games roughly the same. The second one has the brightest screen, and the third one's screen has better reviews than the first. But then the first is cheaper, and you might not care about brightness if you never play in a fully-lit room.
https://www.argos.co.uk/product/3268753
https://www.argos.co.uk/product/7531149
https://www.argos.co.uk/product/7575521
These have a 4050, with the second one being no better than the first other than the 16" screen, that is if you're interested in a larger screen. The first two are a bit better in terms of build quality than the third, but the third is also more than fine.
https://ao.com/product/fa507nurlp038w-asus-tuf-gaming-a15-fa507nurlp038w-laptop-grey-107613-251.aspx
https://ao.com/product/fa607nurl051w-asus-tuf-gaming-a16-laptop-black-104917-251.aspx
https://www.argos.co.uk/product/8599355
If you have more questions, please feel free to ask.