Well.. ASSuming that the dealership is correct, and didn't jump the gun..
yes. an SFG2 (or SFG1/SFG0??? someone chime in here?) would work, and you would need to purchase and swap it, then have your new pcm's PATS (which is integrated inside the PCM) programmed to your keys that you already use.
Either that, or the PCM you get as a replacement, also obtain the keys which are ALREADY programmed to the replacement PCM and then swap out your ignition to accept the new keys.