Answer: SPACERACE

Spacerace refers to a competition between countries, specifically the United States and the Soviet Union, during the Cold War era to develop space exploration technologies and become the first to achieve milestones in space, such as landing on the moon. The term "Contest featuring Apollo" is suggesting that Apollo, which was a series of manned space missions by the United States, played a significant role in this competition.

Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Competition with many missions. Explanations are generated by AI and may be inaccurate.