Here is our Millennium Falcon Gold Medal video walkthrough for Angry Birds Star Wars Cloud City level 4-12. Send the homing egg towards the moving platform. Let it drop at the base of the first structure before calling in the Millennium Falcon.
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Launch the Homing Egg over the left tower and have it land to the left of the tnt platform as it is moving to the left. This shot takes a bit of timing by letting the top left floating platform move to the right as the tnt platform travels to the left. The HE just misses the tnt. Call in the MF for the feather. The bottom left pig gets taken out by falling debris.
Try as I may, I could never get that piece of debris to fly over and take out that right tower. After about 20 attempts, I finally broke down and used two falcons – I think this may have been the first level where I had to use two.