Thanks for reaching out. Based on the photo, it looks like your system is compatible with the Nest Thermostat. You could wire it with the same labels on the Nest Thermostat. You can also click on this link to learn more about this.
Just one quick final check in here since activity has slowed down. We'll be locking the thread in the next 24 hours, but if you still need help, I would be happy to keep it open. If there's more we can do, just let me know.