@sundogplanets let me marh this badly...
At a launch a second they could have that sucker up in months. At a launch every hour it'd take more than a century. At a launch a day millenia. Assuming of course one satellite per launch. That's just the getting to orbit bit. Fabbing the satellites might well take longer. After of course the lead time to ensure hallucinating chatbots are not on the worse granola.