Correction, Sept. 21, 2022: An earlier version of a headline on this article said David P. Bighia was illegally fired by the Air Force. The Air Force did not fire him, officials rescinded a job offer.
When armed services veteran David P. Bighia walked out of the exam room after his pre-employment health assessment, he felt confident that he would be able to start his dream job as a military historian at Laughlin Air Force Base in Del Rio.