Jelly Bean and Root

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http://forum.xda-developers.com – I apologize in advance because this is such a basic question I'm sure it has been answered, but there are already 160 pages in the rooting thread and I can't find my question answered in there from a quick search. If I have a GS3 running stock ICS and I want rooted JB, should I update to JB over Kies and then follow the rooting instructions, or can I simply start with the rooted JB rom over my ICS? Thanks in advance for an answer. (HowTos)