Question about starting story quests on an alt (Undermine.)

I entered Undermine zone with a character, but I want to start the actual, non-intro story (to get into the main hub) with a healer alt. I unlocked the portal and went in there with that healer alt and found no story quests.

Do I seriously need to slog around the goblin settlement outside to get in and start the story quests, like I did on that first character…?