You have your character.
You can play an attachment on him.
You can play a dupe on him.
You can claim or move a power and put it on him.
Now your character is inmune to events.
You can play an event that discard an attachment.
You can NOT play an event that discard a dupe
You can? can not? play an event that discard or move on of the power that are on him?
So up to what point does your inmunity counts. Are the power on your character a different target than your character for inmunities sake?