Okay. So we have two issues. One is the direction of the air and the other is the temperature. They could both be actuators because they are controlled by different actuators.
The air temperature is controlled by a blend door/air temp door and the direction is controlled by a mode door.
Let's address the mode or position first, As you will see in the attached documents, the actuator is controlled by the HVAC control module to move positions. If it is stuck on one setting then it is either the actuator or the module. Since this was already broken, I would suspect the actuator is the issue.
As for the temperature only blowing warm, we need to make sure the actuator is moving when you are commanding cold air. If not, then that will need to be replaced.
Here is a video on how to replace this on a GM:
https://youtu.be/tY6M92fA2ug
If it is moving then we need to look to see if the compressor is coming on. Was the AC operating properly before the mode door actuator broke?
If so, I would address that issue and then retest operation. Keep me posted with what you find.
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Sunday, June 16th, 2019 AT 8:31 AM