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I would also suggest something a lot more recent.
It doesn't have to be really powerful, but the more modern the CPU and graphics card the more capable for the same power as something a while ago.
Besides... a basic desktop will typically outperform most laptops because laptops will throttle components when they get hot and there's no great thermal solution for laptops.
A quick look on Overclockers UK for things up to £650 for the desktop itself (assumes you have a monitor, keyboard and mouse)... https://www.overclockers.co.uk/pc-systems/gaming-pc?ckMin=44999&ckMax=65000&ckTab=0&sSort=2
But weirdly, you can get better deals from non-obvious places... ao.com even :D
https://ao.com/l/desktops-gaming_tower/1-166/250-253/?sort=aol_saleincvatDelivery from tomorrow https://ao.com/product/3xs102171-3xs-desktop-black-72282-253.aspx it's brand new... not stunningly good, but it would outperform your laptop.
If you can stretch and want a lot of bang for buck (in CPU and GPU) then at £750 this is pretty solid https://ao.com/product/9s6b92811070-msi-desktop-black-70314-253.aspx and would offer a cheaper upgrade path in the future if that's your thing (MSI make components, so this is filled with their bits and by their nature are commodity things that can be changed around).
Doesn't seem great to me.
2nd gen i7 is nearly 10 years old. Will be similarly old RAM and likely a refurb SSD.
My go to answer recently has been Dell Outlet.
Slightly slim pickings there at the moment (though they refresh stock a few times daily) but this has a 9th gen i5 (40% faster than the 2nd gen i7-2600) and a 1660Ti (20% quicker than the 1660).
https://outlet.euro.dell.com/Online/SecondaryInventorySearch.aspx?c=uk&cs=ukdfh1&l=en&s=dfh&sign=PXhcOSHtr1T4IOw%2fPR7UdWfOGX4Nh4VY1%2bEHU42xYuESKI1dW8vCOiyVTKY2%2fx4dgSJ9RDYP%2fEPWiZgwoU%2bJDyme9d5RI9hiH5Gmh2Tou9v1%2f9d3U2l7Ujp4fr9B8w9Jym8XNOYqsI8BHWaZTNfV8qQimuQAM%2f%2feufwIxdeEGlAXM0UhcaFckkKXU2oIHYMmpvIHhdk13n%2ffkJj3ZituejossytMILS7yAD6npHPvHHNKPQA372F4iZxmrhXu9J%2f
£670 after the 12% discount they're offering but I think it's a much better choice than getting a 10yr old refurb.
I'd suggest watching the site for what 'Scratch and Dent' stuff they have as they have the better discounts.
I've bought laptops and desktops from there and the scratches tend to be a 5mm scuff on the underside where it's not even visible.