hjfod's suggestion

app/src/main/java/com/geode/launcher/main/LaunchComponents.kt

@@ -280,7 +280,7 @@ fun LaunchBlockedLabel(text: String) {
     val context = LocalContext.current
 
     val showDownload = remember {
-        GamePackageUtils.isGameInstalled(context.packageManager) &&
+        !GamePackageUtils.isGameInstalled(context.packageManager) ||
                 !GamePackageUtils.identifyGameLegitimacy(context.packageManager)
     }
 

app/src/main/res/values/strings.xml

@@ -3,7 +3,7 @@
     <string name="no_activity_found">No activity found for this action.</string>
 
     <!-- MainActivity strings -->
-    <string name="game_not_found">Geometry Dash was not found.</string>
+    <string name="game_not_found">Geometry Dash was not found.\nThe full version of the game is required.</string>
     <string name="launcher_launch">Launch</string>
     <string name="launcher_settings">Settings</string>
     <string name="launcher_download">Download</string>