"Use Session Installer on both F-Droid and F-Droid Basic, including support for automatic background updates” - yes, this is the big one, the one that everybody wanted since forever. On Android 12 or later, apps will be autoupdated after the first install or first update, no root, no unlocking, no PrivExt needed.
https://f-droid.org/2024/02/01/twif.html