Thanks for the photos and for posting.
Your wire label indicates an incompatible system.
These systems usually only work with thermostats made by the same manufacturer. But some incompatible systems may also have the option to use standard heating system wires. Contact a local pro and have them check if your system can be rewired to be Nest compatible.
I have the same setup as you. curious if you found any solutions. Difficult to find out what the wires are actually for. I am assuming the orange is for heat pump, white is for gas, yellow is for ac(yellow has two wires on mine, reversing valve?) , green is fan.
Just one quick final check in here since activity has slowed down. We haven't heard from you in a while so we'll be locking this thread if there is no update after 24 hours. If you have any new questions, updates or just a discussion topic, feel free to start a new thread in the Community.