Currently, universal damage mitigating cards are few and far between. Currently, almost all the cards that reduce damage only reduce combat damage (that is, damage taken from failing a combat check, or that is otherwise specified as combat damage, such as that from collapsed ceiling, etc.). As such, the damage from the enchanter is not reduced by the bracers of protection, nor by arcane armor.
If I recall the wording correctly, mirror image will reduce that damage (depending on your roll) as will the basic ally "guard".