This cover does not reflect anything in this issue. In fact, it references the events from page 7 of the next issue. It seems the "Everybody Dies" reprint in this issue was added at the last minute, probably because the art for the intended story was not finished and it was bumped to issue #154 (with a new relevant cover).
One Page framing sequence introducing the first reprint
Credits for script, pencils and inks confirmed from Julius Schwartz's editorial records, provided by DC Comics. Schwartz kept editorial records for Robert Kanigher, who edited Our Army At War #155 where this story was originally published.