I am not sure this will work…
Last time I checked MS Project was a desktop application. Afaik Windows containers still don’t support desktop applications - there is simply no way to access the application window.
It might be worth a shot to try if Wine is able to run MS Project on Linux. If so, there are plenty of examples on dockerhub of images that run Windows applications in Wine on Linux. Though, such a solution will always lack the “clean” touch.