Here is our Millennium Falcon Gold Medal video walkthrough for Angry Birds Star Wars Cloud City level 4-10. Send the homing egg as far to the right as possible, using the steam vent. The egg should bounce against the middle structure a move up a little. Call in the Millennium Falcon when the egg is lined up with the top right platform.
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Land the Homing Egg into the vertical stone plank holding the round disc on the left side. Activate the Millennium Falcon after impact and the disc is falling.