This was made with .net framework and winforms, which don't support linux.
.net and .net core have linux runtimes.
It's not possible to run the editor with the dotnet command on linux, as that's a completely different runtime to .net framework, and it doesn't support winforms on linux.
The only way you could get the editor running 'natively' on linux is if a mono port was made, or if the editor was completely scrapped and rewritten in a different gui framework (not happening any time soon)
If you're opposed to a mono port, you'll have to try messing around with wine.