I have a new MacBook Air running Sonoma 14.2.1. and I cannot play a web version either. When I download, it downloads as WGTlauncher.dmg. I cannot open it. I'm pretty frustrated because I was excited to play WGT on the web! I can download the app, but it is no different than playing on my iPad.
With a newer MacBook, you can also get the app through the App Store. There are some differences between the App Store version and Mac OS version.
In the past, the main differences are with game settings (more options with Mac OS version) and the ability to earn credits playing the 2-credit videos (App store version). The App Store version is basically the iOS version of the game. I think those differences remain.
With both versions, however, the actual game plays the same.