"The information we automatically collect about you relates to the type of device you are using, information that helps us identify your device, how you play our Games, how you interact with our ads, and third-party ads. This includes your approximate geolocation and online identifiers, which do not identify you personally but may uniquely identify your device, and other device data."
The app collects device-identifying information including online identifiers that can uniquely identify a device, plus unspecified 'other device data,' going beyond what is strictly needed for game functionality.