Contact with Coach in Foul Territory


 
With no outs and a runner on third base (R3), the batter (B1) hits a high foul pop up that will likely land in the third base coach's box. The third base coach tries his best to get out of the way of the third baseman, but the coach unintentionally interferes with the third baseman. The ball tips off the third baseman's glove and lands foul in the third base coach's box.
 
Does the umpire have any actions on this play?
 
Call
When a live ball contacts a coach, different rules apply to a thrown ball (NF 3-2-3) versus a batted ball (7-4-1f). For a thrown ball, if the contact was not intentional and in foul territory, then "play on". For a batted ball, if the coach interferes with a foul fly ball (regardless of the intention), the batter is out. In the situation below, the third base coach interfered, so the batter is out.