You have a '13 so the lengths are different than my '12, sorry I missed that last night or I wouldn't have added to the confusion. I believe you have no power steering pump?
A gates K060945 is 95 1/8' ( or 2415 mm). I've attached a Gates table for you. If they say that belt for a 3.6, then the K060942 @ 94 3/4 (2407) might just be the one. HTH
My stock kit came with 2 belts, one for '12 & earlier, the other for 13's. It's in the attic so I can't get the number right now. Prob wouldn't help much though.
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Another 1 of 371 '12 T3 LS3 M6's built.
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