I am not sure if I did the wrong wiring when I installed my Google Nest
Thermostat, please the attached phone. My heating control is good but I
just could found my the cooling AC mode in my app. Thank you for helping
me out.
I finally solved the problem, the wiring is correct, what I did is to
reset the nest thermostat to factory reset mode, then reset step by step
to turn on the AC.