Any bolded phase action can only be used one at a time. You have two
Betrayal of Isengard in play, so you choose which one's action you are using, and that's it.
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Contrast this with cards like
Stewards' Legacy. "Each time Boromir exerts, you may exert a minion." So if you exert Boromir twice for
Ithilien Blade, each exertion triggers Legacy, because it is a triggered effect, not a phase action.