It will not work as play store DO NOT give updates to any applications not downloaded from play store.
What that means is you CAN NOT test any other app with:
As it is a self-made app and not installed from the play store. You MAY not receive the update.
The best way to check that is to put it in the app and then upload that to play store and after that release another update and open the app with the previous version. You will most probably get that in-app update notification.
And one more thing when the update is installed you are closing the application. Then how do you except for the Screen1 to open.
For more information on In-App Updates component, you may want to check this: