If Cold from Angmar is attached to a quest card in play, can an undamaged hero Treebeard trigger his ability even once? How about more than once?
Relevant text from Cold from Angmar:
When Revealed: Each player deals 1 damage to a hero he controls. Attach Cold from Angmar to the current quest. (Counts as a Condition attachment with the text: "Treat each damaged character's printed text box as if it were blank, except for keywords and Traits.")
And Treebeard:
Action: Deal 1 damage to Treebeard to give him +1 Willpower and +1 Attack until the end of the phase. (Limit 5 times per phase.)
My vague thought is, you can can trigger Treebeard's action exactly once, since the whole first sentence must resolve before Cold from Angmar's essentially passive effect can kick in. But since Treebeard isn't phrased something like, "Deal X damage to give +X Willpower/Attack (X must be <=5)", you can indeed only trigger it once, since Treebeard's text box will then be treated as blank.
Opinions?