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Android App Search Strategies?
(beehaw.org)
If it's free and open source and it's also software, it can be discussed here. Subcommunity of Technology.
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Poorly G-Droid is no longer developed but for discovery its still the best.
Try Droid-ify if you want something newer.
In this forum page are most stable F-Droid repos available
What are repos? Seperate servers for software. They contain binaries, prepackaged software.
You always need to trust the people packaging the software, as this is where opensource loses its relevance.