I am running Ubuntu MATE 24.04 LTS, and would like to use Waydroid, which requires Wayland.

When I run waydroid first-launch, I get:

Starting waydroid session
WAYLAND_DISPLAY is not set, defaulting to "wayland-0"
Wayland socket '/run/user/1000/wayland-0' doesn't exist; are you running a Wayland compositor?

That implies my system is not running Wayland. Based on what I could find online, Ubuntu 24.04 should use Wayland by default, but I have no idea if Ubuntu MATE is different here. Also, the system was upgraded from Ubuntu MATE 14.10 to 15.04, then 15.10, then 16.04 LTS, and from then on from each LTS to the next, and is now at 24.04.

Should Ubuntu MATE 24.04 be running Wayland by default? How can I determine if my system is actually running Wayland? If it is not, how can I get support for Wayland (in particular Waydroid) on Ubuntu MATE 24.04?