Stealing home

[mikek]

Rule clarification:

A pitcher is standing on the mound, but is in no way in any part of his delivery to home plate.

There is a runner on 3rd base and it is a full count on the hitter.

Before the pitcher makes any part of his delivery towards home plate, the runner takes off from third in an attempt to just outright steal home. After the runner is well on his way, the pitcher without stepping off throws to the plate which is not considered a balk but also not knowing whether the pitcher is simply throwing a pitch to the batter or is attempting to throw out the runner attempting to steal. The runner beats the throw home before the ball arives, but the ball also crosses the plate within the confines of the strike zone and could be considered strike 3 to the batter which just stands there.

Does the run count since the play took place before there was any action by the pitcher in delivering a pitch to the plate, or would this still be construed as a pitch to the plate and then be the 3rd out and the run does not count?