I notice that your are in Santa Fe, New Mexico, elevation 7,199 feet, and base atmospheric pressure of 11.3 psi absolute.
The absolute is important because TPMS sensors are calibrated to absolute pressure. The average tire gauge measures gauge
pressure, the difference between the input and the environment. (At sea level a tire with 35 psi gauge has 49.7 psi absolute [35+14.7])
In Santa Fe, the gauge will read ~3 pounds higher than absolute (14.7-11.3). The atmospheric pressure is less. The gauge will have less external pressure to refer to and will read higher.
In terms of reprogramming, the TPMS chipsets may
have a calibration programmability. Infineon chips claim this [see this
]. In reality, I do not think any garage or dealer can calibrate or even wants to. If the TPMS sensor meets the 5% pressure accuracy specification it's OK. [Some vehicles, such as Honda, have a drive cycle calibration that may compensate for local atmospheric pressure and tire diameter; I do not think GM does.]
Practically, tire profile and driveability depend on gauge pressure. Gauge pressure depends on temperature and altitude. Either understand there is an offset between TPMS and your locale or use a very good tire pressure gauge.
Pressure vs. Altitude: https://www.engineeringtoolbox.com/air-altitude-pressure-d_462.html