2 outs and a runner on 3rd base. The batter strikes out, but it is clearly a dropped third strike. The catcher's throw to 1st base pulls the 1st baseman way off the 1st base bag. Instead of returning to tag 1st base, the 1st baseman decides to tag the runner. The tag comes well after the runner at 3rd had touched home and was actually already in his dugout. Does his run count?