Set the bid really high, get the knock back, then complain to the authorities, then get a rerun on the tender with a magically cheaper price submitted for the same thing.

NASA has been good at running the contracts (mostly). When the new Head of Human Spaceflight tried to give Boeing insider information he was strictly fired.

BlueOrigin has endlessly complained about SpaceX selection of HLS but so far nothing.

This strategy doesn't work when a better and cheaper competitor exists.

Last week the senate requested that 2 projects be funded, thanks to lobbying by the consortiums. Team Dynetics pulled out of the GAO contesting as they knew they'd get another support contract for future Artemis project missions.

edit for link: https://techcrunch.com/2021/10/19/senate-budget-committee-te...

They didn't give enough money for that, they can demand it all they want.

Sure, but watch how their bid will magically reduce itself now. There has been noises that they will increase the budget too.