Android version does not respect system auto-rotate settings, how to disable rotation?

[ponko2MSL]

Having recently installed the app from F-Droid, I was playing a few solitaire games in bed when I noticed that the screen would automatically switch orientation to landscape as soon as the phone was being held sufficiently horizontally. This kept happening even though I had specified in Android settings to not auto-rotate the screen.

Additionally (and perhaps related), when double-tapping anywhere on the screen I get a message saying "screen rotation enabled", but I cannot find a corresponding setting (either in the options menu or elsewhere) to disable screen rotation. Double-tapping again after that message doesn't seem to change anything.

I am running Android 13 on a Sony Xperia 10 III phone, and I have confirmed identical behaviour on an Oppo Pad 2 running Android 14.