It is my understanding that a Battle open action counts as both a battle and open action. I may be confused on this and it may count as only a battle or open action depending on the phase. Or there may be something I didn't think of or I have no idea what I'm talking about.
Relavent text on Pincers and Tail: -Reaction: After a Battle action targeting one of your Personalities resolves, if this card is in your hand: Attach it to him, paying 2 less Gold.
So as an example follow this senario: My opponent bows a personality to use the Battle/Open action on Shrine to Bishamon during his action phase. Is this a legal trigger?
Type Holding Title Shrine to Bishamon Text Temple • Singular Bow this card: Produce 2 Gold. Battle/Open: Bow one of your target Personalities at any location and this card: Give a target Personality +3F.