Personally, it doesn't matter when you install the AP. What does matter is breaking the car in properly for peace of mind as well as mechanical reliability. Unfortunately when I got mine back in mid September, I was unable to break it in correctly as I had to use it as a company vehicle for a month which meant 600 mile highway slots twice a week with little variation in revs and engine loads.
I've been mega paranoid ever since about whether or not I'm getting the correct power/torque outputs, fuel economy, and so on. The cars original oil was changed at 680 miles and then again at 1500 but the paranoia and guilt remain.
I installed the AP at around 9000 miles and currently am just shy of 13000 with no seemingly I'll effects. I've tightened up my boost.hoses once over the winter (a miserable affair) and have changed the oil every 5000 miles despite the fact that it no longer sees more than 30 miles per day.
I'd say there is no reason not to install the AP as soon as you get your car but maybe watch your driving, especially high engine loading until you've gotten past the first 150 to 300 miles. That should be enough to break in your engine and suss out any premature issues. Luckily, these days we no longer need to adhere to a super strict break in process as we did in decades past as technology has moved forward quite a bit both mechanically and the fluids we use in our vehicles. Make sure to get your oil changed after your first 500 to 1000 miles and flush your tranny as well to eliminate any metal flake that could damage your internals. That should be you squared away.