Setting up virtual switch/thermostat to control the AC via Alexa

[jshimota]

if I understand your question correctly - it's the same one I tripped over. Virtual switches shared to Alexa via the Amazon Echo Skill don't actually work. However, Contacts do. so the trick is to use a virtual switch that has contacts as well.
I wrote my own switch/contact based on another users work

or - this is noted to work as well

Virtual Switch for Alexa Devices

Unless something changed, the state of a virtual switch can be "seen" from either HE or Alexa no matter which side - HE or Alexa - flips the switch. A change in state in a virtual switch can trigger a rule in HE. A change in state of a virtual switch in Alexa cannot trigger an Alexa routine. A change in state of a contact can be seen by either and can trigger a rule in HE or an Alexa routine. Thus you can use a virtual switch to have Alexa tell Hubitat something, e.g. "Alexa heard 'Good night'…

I have a few virtual switches in play - for snapshot a camera, ring my doorbell and flash my lights - all items that don't connect to Alexa but do connect to HE, but I can still control their on/off state with voice. Hope that helps!