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There's also F-Droid Basic which targets Android 13 and therefore allows unattended updates without root: https://f-droid.org/packages/org.fdroid.basic

Unattended updates will also come to the next release (1.19) of the main client.

I second your NeoStore recommendation but I'm always open to trying others. AuroraDroid fell out of usefulness although I still use AuroraStore for play store stuff.

I prefer https://github.com/Droid-ify/client as a client

I just installed Neo Store, and as soon I updated the repository data, it started downloading and trying to install all apps that weren't on the latest version.

Just a heads up.