[nani8ot]

F-Droid Basic, a cut down version of the official F-Droid client, supports the Android 12+ unattended app updates [1]. This allows for a store to update apps without user confirmation (if it was the store which installed (or updated?) the app originally) [2].

[1] https://gitlab.com/fdroid/fdroidclient/-/merge_requests/1216

[2] https://www.xda-developers.com/android-12-alternative-app-st...

[RealStickman_]

NeoStore can do that as well. It doesn't require root, it's simply an option.