I was curious...I have a few quests that take place in dungeons in other realms. My membership may expire soon. I know that I can still team up from the board in Olde Town. If I do not have my membership, but I team up from Olde Town and complete a dungeon in another Realm, will that count as me completing that quest? I do not see why it wouldn't but I just wanted to clarify.
If you have your membership, you can team up from Olde Town and be able to join the dungeon.
If you no longer have a membership, and you use team up from Olde Town, you will not be able to do the dungeon unless (1) It's in Wizard City proper, or (2) you have bought that area with crowns.
If there is a particular dungeon you like to farm, you might consider buying it and/or the area with crowns so you can continue to farm there.
Otherwise, you will be stuck in Wizard City until you renew your membership.
