If a GM module has a wrench icon, it needs to be programmed with GDS2
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The module you're in need of does not
View attachment 287610
Still, it's key/security related
You may not be writing a calibration to it, but there's probably some handshaking that goes on across the network
Do you know anyone with or have access to GDS2?
The bulletin doesn't mention reprogramming, this module is what the TPM sensors communicate with
I say give it a go, best case scenario you have to do a TPMS relearn
Worst case scenario, you swap your old one back in and take it to someone with appropriate software
Fresh batteries in the keyfobs never hurt anyone