All editions are linked. If you purchase a subscription in one version you will technically have access to both. 

All of your files from the google and cloud version will always show up no matter which version your in. 

However to avoid confusion we recommend you pick one version and point of entry from the start and stick with it. 

To log into a google edition you can log in from your google apps. When you use the login on gantterAi's website page this will open up gantter cloud.