In long range engagement in terminal phase the speed of an AGM-88 is just barely supersonic or can be even high transsonic… This means about 300-350 m/s speed. If the fire control system and radar is able to detect and track target it can try shot down with 3-4 second long bursts.
How much ammo does 3-4 seconds use, 30%? And this means you’ll need 4 AGM-88’s? Or 12, with the 8 missiles? ( Does it only use a single missile each time?)
Edit; Forgot about the missiles, it has more than 2.