shirazhos These errors are also all over the place. The first is extremely generic, the second is often related to higher-end Intel processors that the motherboard may overclock by default, the third has multiple causes but can be triggered by conflicting software, and the fourth is usually related to a bad graphics driver or the game running out of memory.
It's unlikely that there are four different things wrong with Sims 4 or the software the game needs in order to run. So what this suggests to me, in conjunction with the BSODs, is that there's something very wrong with your computer. Hopefully it's a software issue, but it could be hardware as well. CPU problems can look like a lot of other things, and a RAM issue can look like pretty much anything.
I would be happy to try to keep troubleshooting here with you. But I want to say that you may be better off getting this computer looked at in person by a professional. If that's not feasible, right now or in general, there are still things you can do yourself; this is not a signal to give up. I just want to be realistic here and also not keep wasting your time if you're going to end up taking the computer to a shop anyway.
As for current troubleshooting, I would run a virus scan and then a repair install of Windows. (This doesn't delete your data, just refreshes the OS files.) Then I'd see how things looked. I described how to run a virus scan at the end of this guide to the "already running" error, which it sounds like you need anyway:
[CURRENT ISSUE] Sims 4 Unable to Start, Already Running | EA Forums - 11818313
Here's how to do a repair install:
https://www.elevenforum.com/t/repair-install-windows-11-with-an-in-place-upgrade.418/
I would also update the computer's BIOS if you're not already on the most recent version. I can't tell what motherboard you have from your dxdiag, but it should be printed on the board itself as well as in the documentation you have from the seller. Google "[motherboard name] drivers" and choose the Asus support page for your board; your current version is 2603.
The BSODs should show up in the Reliability Monitor too, so you'll know if you're getting new ones. There should also be a MEMORY.dmp file directly in C:\Windows, which you can provide if necessary, but I'd rather only look at it after you've done the above and if you're still getting BlueScreens.