Installing Black Ops 6 on a Mac

I purchased call of duty Black ops 6 two days ago through the battle.net desktop app. I’m on a MacBook Pro running the most updated version of Sonoma MacOS. My purchase is showing as completed in battle.net. But when I navigate to call of duty under Games, there is no button or option to install the game. When I view another game that I have already installed, like hearthstone or World of Warcraft, there is a blue play button in the lower left corner. I see no such button for call of duty. Is that because black ops six is not compatible with Mac, or is it because there is some other issue that I am having? I am trying to decide whether to try to cancel my purchase or work through installation issues. I have sent many technical support tickets, and they have directed me to this forum to get answers. Thank you for your help.

Desktop App Mac Tech Support