That depends entirely on the method used to generate the power. In fact carbon capture only works if you use renewable energy to capture the carbon, otherwise there's literally no point.
How it is made in the lab may or may not be sustainable, but it's a proof of concept so it doesn't really matter. If this were commercialised then you would use renewable energy, perhaps solar panels on top of the factory building, although you could just connect to a green grid. Clearly the facility will be constructed somewhere other than the United States.
He fell over. I think they understand that that probably would have happened eventually anyway and that the AI didn't really have anything to do with it.