You’d have your normal AP, plus one bonus AP token that looks a little different floating beside it. The normal AP doesn’t carry over turn to turn, but your bonus AP token would. So it functions as +1 AP on whichever turn P2 wants to cash it in.
Less elegant than a single spawn adjustment, but it’s an attempt to preserve P1s range of options/pieces to work with on turns 1 and 3. Removing too much from P1 leaves them waiting for reinforcements on turn 5 to start doing anything interesting.