I'm a fan of Logitech mouses, but when when connecting via Bluetooth on Mac OS, they are laggy & sluggish. Today I come across this post on Reddit, which shows the solution for this annoying issue.
https://www.reddit.com/r/logitech/comments/ylo5z6/comment/jqifh4n/
In terminal run this command:
sudo defaults write /Library/Preferences/com.apple.airport.bt.plist bluetoothCoexMgmt Hybrid
Reboot your mac (actually I think it's unnecessary, I see the effect instantly after enter the command above).
To revert
sudo defaults delete /Library/Preferences/com.apple.airport.bt.plist bluetoothCoexMgmt