There's not an HVAC vendor on the planet selling a CO2 scrubber for a building. All commercial HVAC manages CO2 levels via ventilation with outside air. They'll

There's not an HVAC vendor on the planet selling a CO2 scrubber for a building. All commercial HVAC manages CO2 levels via ventilation with outside air. They'll often use economizers and such to avoid losing all the energy put into conditioning the air for heat and humidity but none of them can ever bring CO2 levels down below outside atmospheric conditions. The only HVAC applications that actually try to reduce CO2 instead of just ventilate are submarines and spacecraft, so good luck trying to make that practical for a house. If I for some reason wanted to try something crazy like this I'd probably look at some of the carbonate solution carbon capture projects out there and try to make that work. As others have already pointed out, plants are a bit of a fools errand here. You'd need to live inside a large greenhouse.