Yeah! First I freaked out and wanted to start smashing stuff, then I took a few deep breaths and decided to call out for help. After a night's rest, my brain said "hey maybe you did this to yourself, explore the Auth app" and I fixed it and updated the post above.
It was scary though because WEX worked, and Binance and Poloniex didn't. That was and still is concerning; are there "more forgiving" server-side settings, or something, when a site integrates with Google Authenticator? Most likely, based on this experience.