Is “How did Duke Zhuang of Lu respond to Qi's military pressure?” true?

In the official history, the humiliating peace-seeking of Lu is briefly mentioned. The Records of the Grand Historian, Biographies of Assassins, says: 'Duke Zhuang of Lu was afraid, and thus offered the city of Sui to seek peace.' The Chronicles of the Eastern Zhou Kingdoms, Chapter 13, focuses on the responses of the ruler and his ministers, such as Shi Bo's direct speech: 'Shi Bo said: "The state has three humiliations, does my lord know them?"' This enriches the psychological basis for Duke Zhuang's decision.