While we wait for an update, here’s a workaround that works with Fedora 36 Beta (I’m using it right now), suggested for Ubunty Jammy by @Andrei_Karneyenka here: Insync not working with Ubuntu Jammy (with workaround)
sudo mv /usr/lib/insync/./libstdc++.so.6 /usr/lib/insync/./libstdc++.so.6.bak