Dropped Third Strike?

[mrm21711]

At a recent game, with runner on first and two outs, a third strike was swung at but the ball was in the dirt. The plate umpire, making a mistake that he realized the second he yelled it out, loudly yelled out first base is occupied, batter is out very loudly a few times. The defensive team left the field and the plate umpire told the offensive coach he blew this one, which probably saved him a protest. The question is, what should be done in this situation? The catcher picked up the ball and threw it to first anyway, but the throw was off the bag and there was no tag. Should this be ignored and live with his erronious call? What do you guys think?