DARPA was government innovation.
The Manhattan Project was entirely government innovation.
Most of Big Pharma's new drugs come from government-funded research. We invested in an early stage biotech startup that's lived off government grants for 8 years.
Tesla is government carbon credit welfare recipient.
The history of innovation is full of examples of the private sector too afraid of the risks of investing in early stage tech and the government funding the first investments.
You need to look at The Entrepreneurial State, Mariana Mazzucato to see how this works: https://www.youtube.com/watch?v=urLFQ4Ov_7U