Ipod Nano 7th DOA

in Genius Bar
My Nano for no apparent reason just will not power up anymore.  It doesn't even show that it's charging when plugged into various sources that have worked before.  Went to Apple store genius bar but they said there's nothing they can do except sell me a $100 refurb. 

Surely there must be some way to resurrect this thing?  There was never any foul play or water or anything involved and in fact was working fine the day before.
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