Here is our Mighty Eagle Total Destruction video walkthrough for Angry Birds Birdday Party level 19-14. Use a few birds to destroy the left and middle structures. Then place the Sardine Can next to the right tower, allowing the Mighty Eagle to cut out its support.
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Arc the Sardine Can to the gap between the second and third towers. One of the round wood balls rolls to the left and activates the tnt on the ground.