Carbon Capture

Climeworks builds facilities that remove CO2 from the atmosphere.  They claim that the one pictured here, called Mammoth, which resides in Hellisheiði, Iceland, will filter 36,000 tons of carbon dioxide out of the air per year.

Questions:

Where does the energy come from that is required to build and run the facility?  What’s its carbon footprint?

Since the consumption of fossil fuels contributed 36 billion tons of CO2 per year, we’ll need exactly one million of these facilities to offset our use of oil, gas, and coal.  Does this seem like a feasible solution?