Is “Yan Ying, to eliminate the threat of the three warriors, gave them two peaches and asked them to boast of their merits to eat them, causing the three to commit suicide.” true?

This story first appears in 《晏子春秋·内篇谏下》, and is not recorded in official histories such as 《史记》; later generations often regard it as a fable rather than strict historical fact. 《东周列国志》 vividly turns it into Yanzi's strategy to curb the powerful and spreads it. In the novel, Yanzi says: “盘中尚有二桃，主公可传令诸臣中，言其功深劳重者，当食此桃，以彰其贤。” 《东周列国志》, Chapter 71.