Not that I know of. I really hope that it's a new song. She's got a bunch of new songs because she's working on her third album so the crossover episode would be a great opportunity for her to sing one. She'd probably mention it if it were a new song. She'd probably tweet or blog about her singing a new song just before the episode. I definitely hope that it's a new one.
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If gravity happens I'll fasten wings to my shoes... So can you lift me up,
Turn the ashes into flames,'Cause I have overcome,
More than words will ever say
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