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If you don't see the supercharger, is the intake manifold black plastic or aluminum? For a turbo setup the aluminum would be preferred, easy to find on almost any 3800 starting in 2004. For the trans, you could take a picture of the diff cover and we can usually tell if it's the HD or not based on the size of the cover. The two transmissions were the same except for gear ratio and HD diff. There are a couple other minor differences not worth mentioning as they don't change the strength of the transmissions.
