This is a single-player adventure game, so I found it pretty disconcerting when I first started the game and it said it was connecting to an online server.

Could the developer please explain what that's about?

Sorry, for the long silence. We use the cloud to store the save games. Since the game is available on several platforms we unified the save game system, so people on iOS can seamlessly switch devices and continue the game as they left it.

Sorry, I'm spreading incorrect information. I spoke again with the dev team to clarify the specific changes we made for GOG.

Independently from the platform the game saves on Windows in the following folder: C:\Users\<Username>\AppData\Local\Mipumi\TLS\

Could Saving is not used for GOG. My bad, I should have checked with the dev team first. So you don't need an internet connection to save the game.

There is an optional use for internet connection though regarding the decision menu and the statistical percentages overview. But that's optional, you don't have to use this feature.