Yes, but the overall we get "more power out of the building then we put in" isn't the goal. They are trying to drive the Q factor of the reaction itself up. If they get that to > 5x what the laser strike hits (a very real probability) it's likely trying to make a building that has a net positive Q makes sense.
That building would use modern lasers, modern supercapactiors, etc. to significantly change the "other" parts of the equation.