On LineageOS 23.2 (based on Android 16) on a Xiaomi Redmi 8 phone:
Compass Steel 3D v3.10.5 build 244 [Donate] refuses to install, without any clear error why.
Compass Steel 3D v3.9.4 build 238 [Donate] installs fine, but I don't think it's the Donate version as in it, at the bottom of the screen it says:
Upgrade to remove ads and unlock bonus designs.
Upgrade text is underlined and clicking on it opens the Settings page, where an About entry exists, but it doesn't tell if it's the Donate version or not.

I don't think there is some Google Play or internet server checking as I don't have any Google apps installed and I use AFWall+ for blocking every app from using the internet, except a few ones that I allow and this one I did not allow.

Compass Steel 3D v3.8.1 [Donate] both installs fine and doesn't have that message at the bottom, so I think that it's the last working Donate version.
It would be great if someone else can also these these things and confirm or add other kind of findings.