Are you sure the climate control module is faulty..if i were you, i would;
1. check the sensor in that module is not blocked by dirt or anything (small vent on the lower left corner of the module) take the module out and clean the mini fan and sorrounding area..it's much easier to take the radio out first and push the controller from the back. this sensor is required to regulate the climate in the cabin..try putting a cup of hot coffee in front of it.. and u will see what happen
2. do you still have the heater hose connected..? this is also part of climate regulation system. a simple aircon system will just cut off the compressor when it reached the desired temperature, but our system is "climate control" system which utilise the heater to regulate the temperature, together with outside temperature sensor and and solar sensor on your dashboard (black square thing at the bottom of the windscreen in one of the air vent)..