"GEM" & Key fob swap question

Hi all, getting around to restoring the 2002 Mustang that was stolen. We had a backup key fob (no key) hidden in the trunk. The people that stole the car went through the car meticulously because that fob is no longer there.

I found a 2000 Mustang that is being parted out close by. They have 2 original key fobs for their vehicle.

My question is can I swap my 2002 "GEM" with the 2000 "GEM" and use their 2 key fobs. The fact that someone out there has a key fob to the vehicle bugs me, I've already changed the key cylinder.

I've looked at the GEM wiring diagrams but have inconclusive results.
 
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If it is like my 2001 Ranger and 2007 Merc, you program all the current fobs at once, and all the chipped keys at once.
Then any other previously programmed ones do not work with your car.
Check your owners manual for the procedure.