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I wouldn't do it. A $50 tow truck vs. potential trams/diff problems.
Eek, the spare is 1.63" smaller in diameter ... that's actually a significant difference which equates in about 34 revolutions per minute more for the spare.
All these AWD vehicles have a built in tolerance on how much variation there can be from wheel to wheel, I just don't know what it is ... but I'm pretty sure the dash will light up like a christmas tree and the truck will go into reduced power before you can damage the differentials. Pretty sure, not 100% sure.
Sorry I can't be of more help.
---------- Post added at 11:36 PM ---------- Previous post was at 11:32 PM ----------
Btw, you posted this in the 07+ section ... you might get more applicable answers in the 01-06 section.