It's better if NASA focuses on space science rather than rocket engineering at this point. Private companies can build & fly them cheaper (discluding certain legacy contractors)
unless, of course, "private companies" is your shortcut for "SpaceX".
which other launcher of the same class are being designed, build and launched at the moment by the way?
Relativity and Rocket Lab are working with NASA
https://www.relativityspace.com/press-release/2022/jan27/nas...
https://www.rocketlabusa.com/updates/rocket-lab-moon-mission...
https://everydayastronaut.com/wp-content/uploads/2020/04/Sup...
Or focus on novel rocket science. There is so much opportunity in novel propulsion systems, from nuclear propulsion to ion drives. Most of this is only useful in deep space, a region the private sector has no interest in.