The drama has mostly been cleared up. This is the current Syncthing fork on F droid: https://github.com/researchxxl/syncthing-android . I don't see any signs of AI slop here.
If you don't trust that for whatever reason, there is also an alternative android app (on f droid ofc), which runs the Syncthing daemon, and which you can configure through the web ui: https://f-droid.org/en/packages/com.chiller3.basicsync/
Or, you can forgo android apps entirely, and run Syncthing directly in Termux (f droid link), via the Termux package. There is also the option of emulating a Linux distro in Termux and using the version of Syncthing packaged for Alpine/Debian/Arch's ARM versions. Though, that setup, with distro prooting, is a bit more involved. There also might be issues with Android killing background processes.