Monk Barb AC bonus not stacking

[Syliss]

As title says, the wisdom bonus from AC from monk class isnt not stacking with the CON bonus from AC from Barbarian class, its picking which ever is the highest.

[Hobocop]

It shouldn't by RAW, because they are both base AC calculations and you can only use one base AC calculation at a time.

Same reason why Mage Armor doesn't stack with either.

[Morgian]

This is 5E. The golden rule is that nothing stacks.

[Morgian]

The cloak works fine. But there is only one.