I have two CT-30 thermostats and they show up in Action Tiles just fine but I have no way of changing the mode or fan setting Heat/Cool/Off Fan On/Auto. I've seen on the Smart Tiles where people have switches put together but i think it would be ideal to have a drop down list or popup with options. I don't think a dedicated button would be necessary as it may lead to inadvertently changing the setting. Also, on the dual Thermostat tile, the mode shows idle when smartthing shows heating/cooling.
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