[Flatrater]

The tech made a common mistake. The 2002 Grand Am has 2 different style Keyless entry systems.

One system the keyless is internal to the BCM and the other the Keyless is external to the BCM.

I'm sure the tech when into the BCM to attempt to program your keyless which would work with the internal Keyless to the BCMN. The external Keyless requires you to go to the RFA to program the key fobs. Go back to the dealer and tell them to go to RFA in the body area of the tech 2 and use that program feature.

As for your starting and your need to reprogram the key using the 10 minute relearn procedure would to me mean either the Passlock sensor or the BCM is bad. More than likely the Passlock sensor is your problem. The Passlock sensor is part or your ignition key cylinder. This is easy to replace for any do-it-yourselfer.