I never used chrome os before, I can only spitball potential issues.
Try changing the permission for this site. See if cookies and file editing is allowed.
https://support.google.com/chromebook/answer/114662
If that doesn't work, open the dev console and then play the game, see if there is any error log.
https://developer.chrome.com/docs/devtools/open/
If your chromebook is locked down and can't access the dev console, then I have no idea what to do.