It would be great if the Android version of the app could be distributed by other means like a custom F-Droid repository (handles updating for you) or a direct APK download as fallback. I don't use Google and neither have proprietary Google blobs installed on my LineageOS device by choice; neither do I want to install compatibility layers like MicroG. It is impossible right now to obtain the app legitimately on liberated Android forks. The biggest pain point I can imagine right now is PairIP, for whatever reason you are using that thing.
I use a FairPhone btw which allows/supports installing Android forks by out of the box.