https://www.amazon.in/dp/B0D3368DV1
get this and add a used gtx 1050/1050ti for 5k? should be fine for ps4 era games at 720/1080p30
maybe you can get 3rd gen i5 for little cheaper and that should be enough too to not bottleneck the 1050ti
bit over your budget but you can buy the mi Xiaomi 11 Lite 5G NE from reliance store which is a bit old but if you want custom rom support is great and it has 5g and rlly good cpu and display too..