Just because there is not any anti-freeze dripping on the floor yet does not mean the heater core is not leaking. It is probably the heater core and it has a small leak and the fluid that comes out is already a vapor if so you do need to have the heater core replaced.
But it sounds more like you have a mode door actuator that is out. #2
Here is a guide that will help you see what you are i for when doing the job. Even though this is for the blend door, the process is the same for the mode door.
https://www.2carpros.com/articles/replace-blend-door-motor
Here is the location for your car (below) I gave you all of the actuator locations for future reference.
Please let us know what happens.
Cheers, Ken
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Tuesday, January 16th, 2018 AT 1:26 PM