Climeworks currently estimates 2.5MWhr / tonnes of carbon (1000kg) (heat energy). That's an hours worth of energy for 2500 homes, PER 1000 kg.
Mammoth sounds like it'll capture (36000 ton per year / 365 days / 24 hr) ~4 tonnes an hour = 10MWhr.
Most solar farms in the US are currently less than 5MW and thus ALL of their energy couldn't support a single one of these capture facilities.
Two Comments:
1) All that energy for 36000 tonnes / year just doesn't seem like it is viable.
2) I don't really think we should be prioritizing using clean energy to recapture carbon over replacing other sources.