On May 4, Olds destroyed another MiG-21 over Phúc Yên. Two weeks later, on May 20, he destroyed two MiG-17s in what one of his pilots described as a "vengeful chase" after they shot down his wingman during a large dogfight, bringing his total to 16 confirmed kills (12 in World War II and four in Vietnam) and making him a triple ace. Olds states that following the shoot down of his fourth MiG, he intentionally avoided shooting down a fifth, even though he had at least ten opportunities to do so, because he had learned in the middle of June that Seventh Air Force, at the direction of Secretary of the Air Force Harold Brown, would immediately relieve him of command to return to the United States as a publicity asset if he did.