When dealing with pets who like to have fun with the tree, your best bet is to try to train them to stay away from it. With my family's cats, we'd put small bells around the bottom of the tree. If we heard jingling, a chase would ensue, to the accompaniment of "Bad cat! Bad! Aahh! Bad cat!"
Or, in this case, put bells at the top of the tree...

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Past teams:
2003-2007: FRC0330 BeachBots
2008: FRC1135 Shmoebotics
2012: FRC4046 Schroedinger's Dragons
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