Rep. Tammy Duckworth, D-Ill, lost her legs and the use of her right arm as a helicopter pilot in Iraq in 2004. She was awarded a Purple Heart for her combat injuries. Braulio Castillo broke his foot in a prep school injury nearly three decades ago at the U.S. Military Preparatory School, which he attended for nine months before playing football in college. He owns a technology business certified as a service-disabled, veteran-owned company eligible for government set aside contracts. The two met at a House Committee on Oversight and Government Reform hearing Wednesday in an exchange neither will forget…