Eastern Hub Port Equipping is a Battle/Open action for you. After the first Battle action resolves each turn that attached a card to one of your Personalities: You may take an additional Battle action.
When the trait states, "After the first Battle action resolves each turn that attached a card to one of your Personalities:"
Does the trait imply the first Battle action taken must be one that attaches a card to one of your Personality to gain the additional Battle action?
Or can the trait be delayed to the second or later Battle action taken?
Some of the question concerning Eastern Hub Port plays the trait as:
Once per turn when a Battle action resolves that attached a card to one of your Personalities: You may take an additional Battle action.
Referencing Traits 1.3.2: Restrictions in the general form “once (or twice, etc.) per turn (or phase, game, etc.)” have a different meaning in a triggered trait if they come before or after the colon. Such a restriction in the constraints block, before the colon, means that the trait is only triggered once, at the first opportunity in that span of time to be triggered. Such a restriction in the effects block, after the colon, means that the trait is triggered every time the triggering condition is met, but the effect can only be applied once. This matters if the effect is optional; in that case the “once per turn” restriction is only used up if the effect is actually used.