So before when I had the iTunes program downloaded from Apple's website, Compatibility settings worked perfectly fine for it.
After switching to the iTunes app acquired from the Windows Store, I noticed that I can't get Compatibility settings to work for this version at all.
I'm not sure if this applies for all apps on the Window Store or just certain ones, but it would be nice if the devs can work your magic to get it to work.

I've attached the screenshot of the rules window. The rules that I have set aren't anything complicated. It's primarily the TitleBar rules not working that was annoying, since the TitleBar would appear on the iTunes window and partially cover up things like the search bar.
The iTunes.exe directory I'm using is acquired by checking the properties of the shortcut. Windows won't actually let me access the folder that it's in using file explorer, even with Administrative rights, so maybe that has to do with why DisplayFusion won't work with it either.
I've since switched back to the non-App version of iTunes in the meantime.

Considering the lengths I have to go through to get iTunes working (as I was getting errors when trying to purchase stuff in the store before and after the change from the Windows Store app to the non-app version), I don't want to switch back to the app version to test the *iTunes.exe directory setting and risk getting errors again. If I ever use another Windows Store app and set Compatibility rules for it, I'll be sure to use the wildcard in the directory and will report back if that doesn't work. Otherwise, consider this problem solved for the time being.
Thank you for the support and for continuing to update DisplayFusion over the years, and have a happy Thanksgiving!