Broken Sims 3 Launcher
@valerieg99 TS3.exe is part of the game's program files (it's the executable file, as in, what runs the game itself), so it would have been removed during the clean uninstall, and the EA app would have downloaded a fresh copy. And yes, your dxdiags show it crashing repeatedly, specifically with an access violation. This type of error is too generic to be helpful.
However, that's actually irrelevant here because the new dxdiag's errors were present in the previous one as well. That means that Sims 3 isn't throwing an error when you try to play now, which in turn means it's probably being blocked from running rather than crashing.
I mentioned your antivirus before, but did you in fact try to open Sims 3 without the antivirus running? If not, please try that now. You may need to repair the game too: open your EA App game library, click Sims 3, and select Manage > Repair.
If that doesn't help, please create a new admin Windows account and try playing in that. Make it local, as in, don't link it to your Microsoft account. You'll be able to (try to) launch Sims 3 without reinstalling anything, but your mods and any other content you brought from your old computer won't be available. That can be addressed later; for now, just let me know whether the game works.
