That's just the mobile app, is apparently a beta feature of the Google Play store requiring additional software install, and isn't the same thing as downloading the site. The website has more features than the apps, the apps are designed for mobile devices, and a full browser is going to provide a better experience.
What is apparently being offered now is the ability to run the Android Chess.com app on a Windows 11 computer.
The Chess.com website offers many more features than the Chess.com Android app. Therefore, it makes no sense to install the Android Chess.com app on a Windows computer.
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One of Windows 11’s main features is the ability to natively run Android apps. This was previously only possible using third-party software, and you’d never been able to fully integrate phone apps within the Windows desktop before.
However, there are two big caveats to be aware of. Android apps on Windows 11 require an SSD and at least 8GB of RAM, despite older HDDs and 4GB of RAM being compatible with Windows 11. Microsoft even recommends 16GB for the best experience, something most devices don’t have.
But even if your device can run Android apps smoothly, you might still be underwhelmed with the experience. That’s because it uses the Amazon Appstore, which offers just a fraction of the apps available on the Google Play Store. But what if you could have both?
A workaround means it’s technically possible, but that doesn’t mean you should go ahead and try it.
https://www.techadvisor.com/article/745060/how-to-get-the-google-play-store-on-windows-11.html
/ Beyond this, the website offers a lot more features than the Android app. This will probably change over time but at the present time, neither the Android app nor the Ios app offer many of the features offered on the website.
Therefore, it makes no sense to "download" the website.
@justbefair, Google is also providing a way to install Android apps.
click over there while in the website and click on install and it will be added to your desktop
It is still just a browser instance.