Getting your AIR application to run on the Windows Store requires you to go through some specific conversions to convert the AIR package into an UWP app which can be submitted to the Store.

This process involves several steps, creating an installer from your AIR captive runtime bundle and using the Desktop App Converter to convert for the store.

@rewb0rn has written a great walkthrough on the entire process with much more detail than we have currently in this guide: