Face ID Not Working [Fixed. Please see the approved answer for details.]

I had to reset my iPhone 14 Pro, and now 1Password 8 will not take my FaceID. The FaceID popup does come up from the dynamic island, followed by a green check-mark in the popup when it gets accepted, then I'm prompted by 1Password to enter my password manually. Every. Single. Time. All my passwords for other apps etc. are very long and complex and stored in 1Password, so this is a showstopper in getting my phone back up and running. I've tried restarting my phone, disabling/enabling FaceID in the app, and deleting and reinstalling the app. Any suggestions before I change my 1Password master password to "123"?

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