Is there a Photoshop Action bundled with App Icon Generator Vol.3?
No.
Due to the amount of details and complexity of multiple styles and options designed within the PSD files, there are currently no automated actions available.
The key is to set and customize your very own icon by toggling on/off layers and groups (frames, glows,...) and to select a provided glyph, or to import your app logo or glyph before export.