Need advice to buy 500$ Thinkpad

So I am looking to buy a ThinkPad for $500, just my one issue is I need it to be able to run some games.

Games like Skyrim SE, Fallout 4 and stuff like that. I also need it for some editing work, not crazy amounts just some video editing.

My previous laptop an Lenovo IdeaPad flex 5 broke on for I updated it and it corrupted its bios.

It had a Ryzen 5 4000u

16 gram

AMD integrated graphics

FHD display

And a backlight keyboard.

So anything better than my previous specs which can do some video editing and run those games at decent settings (not low settings but medium-high 50-60 fps) with 12-16 gram. Would work perfectly for me.

I know there’s a very hard task to request, I’m also fine buying refurbished. For I’m just trying to get the best deal possible within reason.

Thank you and God bless!