Wearing the AC10 clothes in the armour slot should not count as armour and your character should still get Unarmoured Defence if they have that feat. Though I have no idea of how that works or doesn't with a multiclass barbarian, and I've only got Karlach as a single class barbarian in my own playthrough.
EDIT: As I was about to level up Astarion in my own playthrough, I can confirm that Unarmoured Defence works in my game when he's muliclassed into a barbarian and wearning a robe. One thing, though, are you sure he's not wearing a helm, gloves or boots that are classed as armour? Those would also interfere with Unarmoured Defence.
Last edited by The Red Queen; 16/08/23 11:49 AM.