F-Droid need to be a system app to update/install apps on it own. For that Privileged Extension needs to be installed, using TWRP or other Android recovery that can flash updates to the system.
F-Droid
F-Droid is an installable catalogue of FOSS (Free and Open Source Software) applications for the Android platform. The client makes it easy to browse, install, and keep track of updates on your device.
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What android version? Must be 12 or later. Fdroid cant do it as its target android version is to low. You will need droid-ify for that
It would still still prompt that pop-up. That was the case when I had one on android 10. It's a miui thing unless it gets bypassed for this android API.
Ah, okay, i am used to aosp which doesnt do that
There's a setting to disable scanning of installing apps. Disable it from security app. Also, don't debloat the security app it will break things for you.
It isn't still possible, AFAIK
With root privilaged extension it is.
On android 13 however it should be able to do it via session installer (google allowed unattened updates) and even without that there is a shizuku plugin which should allow it to work in theory (however the plugin is buggy and works half the time).
I'm unable to make it work with Shizuku without root
Last I knew fdroid didn't support shizuku. Unless, you talk about 3rd party fdroid clients like droidify and neostore, etc. Also, unless xiaomi borked the adb perms(I'm sure they did like they do for accessibility service apps) shizuku can work with wireless adb.
Same issues (especially when fdroid tries to update itself). Not sure why it doesn't work (when it should in theory).
Plugin repo hasn't been updated in a bit as well 😢