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"Surround a creature in a protective magical force. Its Armour Class is set to 13 + Dexterity modifier."
That is not the same as adding 3 to your AC.
It actually changes your BASE armor calculation to be 13+Dex instead of 10+Dex.
Likewise if you look at the definition of unarmored defense
"While you are not wearing any armor, your Armor Class equals 10 + your Dexterity modifier + your Constitution modifier. You can use a shield and still gain this benefit."
That ALSO changes your core BASE AC calculation...
The golden rule of DnD 5e is nothing from the same source stacks.
Since BOTH change your core, base armor class, they do not stack.
Now look at the shield spell:
"When you are about to be hit by an enemy, increase your Armour Class by 5. You take no damage from Magic Missile."
That doesn't change your base armor calculation, it simply adds AC. So that would stack.
Edit:
Draconic Resilience also changes your base AC, in fact draconic resilience is basically the same as having mage armor on at all times.
Cheers.
all 3 provide a *formula* to use, whichever one is better will be applied, they do not stack.