They now make a couple of these. A link is attached. Oddly, the company seems to sell a cooling version and a heating version. I would want one control for both. It is a fancy IR blaster. I don’t know about all of the Nest capabilities, but I would like to just set a schedule, and perhaps use Android Presence. Perhaps just “I’m Home.” But, anyway, you get the picture. Tado Thermostat
the zxt-100 would likely work for the AC, but no clue on the heat.