tremere110: There may be a misunderstanding somewhere. There isn't an option for LAN anywhere - only online play. I'm not sure if the Steam version supports LAN either - I've looked at the forums and it seems to indicate no. You can play with computers on the same network together but it would connect through online multiplayer just like it normally would.

The game seems to default to private matches that lets only players on your friend list to connect. You can switch to a public match through the host options that allow anyone from GoG to connect.

Grargar: Do you have the game here? If yes, does it support daily challenges as the Steam version or were they removed?

Marioface5: The daily colosseum is present and works offline.

Gersen: You are a couple of years late, AoW III already required an online third party account to play via LAN years ago, heck it even require an account to play via e-mail and there are other games with similar requirement and that was the case years before Galaxy even become a thing it's nothing new.

Gog DRM-free promise was, since its beginning, and still is only for the single player part of games, for the multiplayer parts it's up to the devs to decide what they want to do.

The real question here is why the devs decided to tie the LAN multiplayer to Galaxy, if I had to guess I would say that they probably didn't care and did for Gog the same thing they did for Steam without considering that it was possible to run Gog games without the client.