bbnh69420 has it, America's Army was literally "published by the U.S. Army, intended to inform, educate, and recruit prospective soldiers."
The Windows version 1.0, subtitled Recon, was the first released version on July 4, 2002. As of January 2014 there had been over 41 versions and updates released including updates to America's Army: Proving Grounds, which was released in August 2013. All versions have been developed on the Unreal Engine. The game was financed by the U.S. government and distributed by free download.
That shooter game the US Army made in like 2006
Do you have any idea how little that narrows it down?
bbnh69420 has it, America's Army was literally "published by the U.S. Army, intended to inform, educate, and recruit prospective soldiers."
deleted by creator
America’s Army?
Yep that's the one