@GouchoMarx Sims 4 should be using the MX450 at all times, although the data does pass through the Intel iGPU on the way to the screen in most laptops like yours. Still, the Intel driver is probably not the issue, and I would suggest not updating it if you haven't yet. These drivers are often tuned for the specific laptop, so an older driver provided by the manufacturer may be more compatible for general use than the newest generic Intel driver. This doesn't necessarily apply for games, but as said, Sims 4 should use the MX450.
For the lag itself, it's worth finding out whether this is an overheating issue. Please download hwinfo (it's free) from here:
https://www.hwinfo.com/download/
You don't need to install anything; just choose the Portable version, unzip it, and launch it from Downloads or wherever you like. If you do want the full installer, be sure to click the button for hwinfo itself, not for lansweeper.
Restart your computer, open hwinfo, choose Sensors Only, and click the button that's a sheet of paper with a + to start logging. Save the log file to your desktop for easy access. Wait five minutes, then open Sims 4 and play for at least 20 minutes. Don't alt-tab out of the game or run any other programs, aside from the EA App of course, while you're testing. When you're done, click the same button to stop the logging.
Please upload the log to the third-party filesharing site of your choice (Google Drive, Dropbox, etc.) and link it for me. Either leave it in .csv format or, if you're going to use OneDrive, create a .zip file, and don't open the log before uploading it, or else my log reader might not be able to interpret it.