Do you know if this is a Foul ball or Fair ball?

In baseball the rule on what makes a baseball hit a foul ball can be complicated, but some calls should be easy to make.

In this video we have a ball that is hit and the ball goes directly down to hit the ground behind home plate. It then bounces up and lands on home plate. Finally, the catcher picks up the ball while it is on or over home plate.  

Would you, if you were the umpire, call this a Foul Ball or a Fair ball?

Official Rules: 2.00 Definition of Terms

A FOUL BALL is a batted ball that settles on foul territory between home and first base, or between home and third base, or that bounds past first or third base on or over foul territory, or that first falls on foul territory beyond first or third base, or that, while on or over foul territory, touches the person of an umpire or player, or any object foreign to the natural ground.
A foul fly shall be judged according to the relative position of the ball and the foul line, including the foul pole, and not as to whether the infielder is on foul or fair territory at the time he touches the ball.

FAIR TERRITORY is that part of the playing field within, and including the first base and third base lines, from home base to the bottom of the playing field fence and perpendicularly upwards. All foul lines are in fair territory.