The comment tag associated with this customization is BLACKBERRY_CUSTOMIZATION_POINT_PUSH_NOTIFICATION.
By default, when a push notification is received by the Hybrid Web Container push listener, it returns the PushNotificationListener.NOTIFICATION_CONTINUE method, which allows the next push listener to handle the notification.
The comments in the onPushNotification method in the CustomizationHelper.java file include sample code that demonstrates how to open the default client-initiated Hybrid App if no Hybrid App is currently opened and also, optionally, calls a JavaScript method to initialize the Hybrid App once it is opened.