Android 13 users now receive the Game Dashboard integrated into Google Play Services.
In Android 13, Google has removed the Game Dashboard from the Pixel SystemUI and started working on moving it to Google Play Services, as Mishaal Rahman noted earlier. This change was then noted to the changelog for the July Google Play system update.
As stated, the Game Dashboard becomes available in Google Play Services v.22.30 and newer.
You can find its settings by going to Settings/Google/Game Dashboard. Or open them directly from the game Dashboard.
