Arch Linux and Hyprland. Lucid uses Hyprland-specific APIs for workspaces and window management, so it will not work on Sway, niri, GNOME, KDE or any other compositor. The installer relies on pacman and the AUR, so other distributions aren't supported either.
The shell itself only strictly needs quickshell, qt6-5compat, qt6-declarative and qt6-multimedia. Everything else backs one feature each, and the installer offers to pull it all in.