The original German wording is “Spieglein, Spieglein an der Wand: wer ist die schönste Frau in dem ganzen Land?”. Literally translated that would be “Mirror, mirror on the wall: who is the most beautiful woman in all the land.” I would let “hottest” slide as a more contemporary translation.
I don’t think logseq has fully automated synchronization, at least it didn’t when I started using it. What it does have is the option to automatically git commit changes. You can then synchronize through a remote repo. It isn’t fully automatic and requires a remote repo you can trust with your data but it works great for me