I have a Chrome computer. It accesses the Chrome store which loads tons of apps, ones you’d recognize from your cellphone like World War Z, Pokemon Go, I think Clash of Clans was on there. These are all supported on the computer. Empires and Puzzles is not. I do believe it counts (Or should) under the third party software designed to modify or interfere with service because it literally changes the platforms on which the game is available. I’d also like to point out on the app store with compatible devices it only lists: Compatibility: Requires iOS 7.0 or later. Compatible with iPhone, iPad, and iPod touch.
A cell phone is capable of a clicker as well, but it is far more complicated and voids warranties I believe.