Publishing APK for Android with ANE included by using Flash CS6

Select Menu: "File > Publish Settings > ActionScript Settings"
Select Tab: "Library path"
Click icon button: "Add New Path"
Click icon button: "Browse to a Native Extension (ANE) file"

After browsing and selecting an ANE file, the file will be added in included files ( Checking "General" tab in "AIR for Android Settings"  ).

Publishing APK by using "AIR for Android Settings" panel, the ANE will be added in the APK file.