Heater Core

That's weird. Something may be jammed. Can you remove the defrost tubes and feel inside for the door?

This is probably what is going on. The most likely failure mode for a vacuum can would seem to be a leak where the vacuum won’t operate it. Can you pull the vacuum actuator rod off the door to check to see if the door and the actuator both move freely?

I could also be a vacuum switch malfunction. Take the hoses off the actuator & see if that lets you move it, or easier yet, push the buttons a few times with the engine off to drain any captured vacuum & see if the door moves then.