I have searched for this topic and the previous answers are not conclusive to me so I will try again with my specific situation. Thank you in advance for your help!
Current situation: I have a 16V 10VA doorbell transformer with a mechanical door chime and regular doorbell button. My current thermostat is not a smart thermostat and it is battery-powered. I don’t have a c-wire but my furnace has a C terminal on its board. My current thermostat wire is 18/4. It is challenging for me to run an extra thermostat wire from furnace to my current t-stat location in order to add c-wire.
My goal is to add ac-wire so I could update my current thermostat to a Google Nest thermostat (link). (Yes, it could be battery powered but I want it to have power from c-wire for solid performance). The picture is its specs from Google website (Vin = 29-42V, Voc=29-42V, Iin = 100-200mA). My plan is as following: I’ll upgrade my current doorbell transformer to a 24V 40VA transformer (like this one from Home depot). Since the door chime is right above my thermostat, I think I could run 2-wire from power supply lines of the door chime (which is 24V) to power my Nest. One is red for 24V supply, 1 is neutral for C wire. And my future Nest connects to the furnace using the current 18/4 wire.
Will this work?
I think it will just because you could alternatively buy a plug-in 24V transformer to power the smart thermostat that requires a c-wire.
Picture 4: Wire at the furnace board
Picture 5: door chime wiring. If I upgrade the transformer to 24V 40VA, I plan to run wires from white and red "Trans" wire to my smart t-stat