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Updating Liftoff for Lemmy
(beehaw.org)
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As already mentioned, you're probably looking for Obtanium. There's also APKUpdater, which hasn't seen updates in two years but has a 3.0 branch ready for testing. (I haven't personally used it.)
For Liftoff specifically, I'll add that it's available in the IzzyOnDroid repository for F-Droid, which is useful if you're already using F-Droid for anything else.
Thanks dor the F-Droid repo! I've added it.