Codes B0413 and B374A, HVAC?

So this is two different problem we will address the B0413 - Temperature Control 1 Position Sensor Circuit on this thread please create a new question for the B374A - Park Brake Apply Relay Coil Circuit problem.

In the 2014 Chevrolet Silverado, the B0413 code refer to specific issues related to the HVAC (Heating, Ventilation, and Air Conditioning) system.

B0413 - Temperature Control 1 Position Sensor Circuit
The B0413 code indicates a problem with the temperature control 1 position sensor circuit in the HVAC system. The temperature control position sensor is responsible for providing feedback to the HVAC control module about the position of the temperature blend door. This door controls the mixture of hot and cold air to achieve the desired cabin temperature.

Possible causes of the B0413 code include a faulty temperature control position sensor, a wiring issue in the sensor circuit, or a problem with the HVAC control module itself.

So, it sounds like you have a defective replacement blend door actuator. Here is the correct way to change the unit out and do the calibration. Check out the images (below). Please let us know how it goes.