This is dedicated to the 96th Engineers (Colored) who rebuilt Port Moresby and several extemporaneous jungle/swamp airfields to save pilots and aircraft during World War II. Running out of gas over the jungle was no joke. There's no telling how important their work was to the overall effort.
I found this gem looking for the song itself. Louis Jordan singing for a film Follow the Boys (1944). This is the only Hollywood film I have seen showing black military men in World War II.
However, I do know there were films and newsreels specifically targeting black-patronized movie theatres. Many of those have been lost, but the remainder have become the object of intense historical interest and preservation work.