Just the forum, not the game, Discord, or anything else. Banned users also won't lose access to the Foundation, other than the daily quest they can't complete now. We don't inform other users about bans because 1: We don't want to start arguments with other users about why someone got banned and 2: We don't want witch hunts.
What will happen to banned accounts? Well, if they are temporarily banned, they will come back eventually. If it's permanent, then they won't, obviously.