Barbarian and druid multiclass

quick question, i have a player who is going to be playing a path of the beast barbarian thats going to subclass into circle of the moon druid, now the question is, does the class traits for AC stack while he is wildshaped? im almost positive they dont stack but i cant remember where i found said information

barbarian

Level 1: Unarmored Defense

While you aren’t wearing any armor, your base Armor Class equals 10 plus your Dexterity and Constitution modifiers. You can use a Shield and still gain this benefit.

Moon Druid

Level 3: Circle Forms

You can channel lunar magic when you assume a Wild Shape form, granting you the benefits below.

Challenge Rating. The maximum Challenge Rating for the form equals your Druid level divided by 3 (round down).

Armor Class. Until you leave the form, your AC equals 13 plus your Wisdom modifier if that total is higher than the Beast’s AC.

Temporary Hit Points. You gain a number of Temporary Hit Points equal to three times your Druid level.

Base AC calculations never stack -- just use the best. See Armor Class. You would be able to use the barbarian calculation if it's better than the beast calculation, but given you use the beast's stats, I suspect this will never actually come up.

i figured as much, thank you