The phrase "make a run at" typically implies attempting to accomplish something or take a shot at a particular goal. However, there are several antonyms that suggest the opposite. "Give up" would be the most fitting antonym, indicating a cessation of effort or a lack of motivation. "Retreat" and "withdraw" are also antonyms, communicating a sense of moving away from the goal or backing down from the challenge. Conversely, "succeed" or "triumph" are synonyms that suggest a positive outcome or reaching the intended goal, as opposed to making an attempt. Ultimately, the antonyms for "make a run at" convey a sense of defeat, resignation, or disinterest.