The temperature is controlled by the blend doors on a 2005, these doors are adjusted with small electric "blend door actuators" that are a common failure point but are readily available
Usually there are 4 blend door actuators in the front A/C Heat system, 2 control the temp for driver & passenger, one control where the air comes out (defrost vent, floor or dash) and 1 controls the air supply source to the HVAC box (fresh air or recirculating cabin air); all 4 are usually the same part number
These actuators are attached with 2 screws & a simple harness plug, some are easier to get to than others but Google will find multiple videos on your generation of rig as to where each one is & how to to get at it