teawithbrie_ It did say 64-bit back in the Origin days, and I have an old screenshot of that:
A partial guide to 64-bit Sims 3 for macOS (in progress) | EA Forums - 11190066
But because the EA App only supports macOS Catalina (10.15) and newer, and Catalina was the first OS that couldn't run 32-bit apps at all, I guess there was no reason to maintain the distinction. The EA App seems to have lost a lot of older game tiles in favor of only having one per game.
For moving the camera, try switching to windowed mode and back to fullscreen (bring up the graphics options and click cmd-enter), and try disabling and enabling Edge Scrolling. If you're using game mode, try disabling that too. It wouldn't be active in windowed mode, just fullscreen.
And to be clear, does right-clicking a bit of terrain center the camera there? Or is that not working either? Are you using a third-party mouse, an Apple mouse, or only the trackpad?
Edit: I just saw your edit, and I wanted to mention that TinyUI has its own issues, including conflicting with some NRaas mods. That's not to say you can't use it, but if you run into problems, that should be the first suspect.