Install from the GNOME Shell Extensions website
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GNOME Shell extension to hide the cursor on inactivity
For use on Wayland, since unclutter, unclutter-xfixes and xbanish only work on X11.
Note: This initial version has a hardcoded 5 second timeout. I'd like to add settings to support configuring this value, but I have no definite plans. Collaboration appreciated! (I'd also accept a contribution adding support for hiding the cursor while typing, but I don't have plans for this myself.)
Only GNOME Shell version 45 is supported.