I downloaded the trial version and it’s not launching on my mac, I unzipped the file and put the app in the application folder.
I also have a licensee from the introduction to modern type design class by letterform archive. tried opening it with that too but the app is not launching.
Please create a new user in System Preferences > Users, and try there. If you do not get an error message, check what is happening in Console.app when you start the app. Perhaps we get a clue there.
Which hardware are you using? See About this Mac in the Apple menu.