I’ve briefly been on the inside of government projects. I wouldn’t trust them to build anything like this, unless they allowed NASA or some similarly engineering-orientated agency to manage it.
Even NASA with cost plus space launch system style contracts would spend 10B with nothing to show for it. I too have been inside a govt project. Delivering a product of value to end user on commercially reasonable basis is not the goal of such efforts for better and worse. There is no profit motive.