macOS 12 Monterey is out already, and although we did not find any major compatibility problems with the latest version of Mitti and Vezér there is no reason to rush upgrading primary systems until Apple releases at least the first dot release.
CoGe is not compatible with macOS Monterey yet. Development of CoGe 2.0 is struggling unfortunately, here you can find the latest development update: https://imimot.com/blog/cogevj-development-update/
Unfortunately we were not able to test every possible hardware and software combinations, so if you are running into any issues, please don't hesitate to contact us!