Since the game is installed via the Play Store, it automatically syncs with the user’s Google Play Games account. Progress is not lost when switching between a phone and a Chromebook.
This comprehensive guide details how to install, optimize, and troubleshoot Clash titles on your ChromeOS device. Technical Compatibility Matrix clash on chromebook
For Chromebooks that do not support Google Play or for users preferring a more traditional desktop experience: Since the game is installed via the Play