Passage: Upon the 1251 ascension of Möngke Khan, the Mongols again repeated their demands. Möngke Khan sent envoys to Goryeo, announcing his coronation in October 1251. He also demanded the King Gojong be summoned before him in person and his headquarters be moved from Ganghwa Island to the Korean mainland. But the Goryeo court refused to send the king because the old king was unable to travel so far. Möngke again dispatched his envoys with specific tasks. The envoys were well received by the Goryeo officials but they also criticized them, saying their king did not follow his overlord Möngke's orders. Möngke ordered the prince Yeku to command the army against Korea. However, a Korean in the court of Möngke convinced them to begin their campaign in July 1253. Yeku, along with Amuqan, demanded the Goryeo court to surrender. The court refused but did not resist the Mongols and gathered the peasantry into the mountain fortresses and islands. Working together with the Goryeo commanders who had joined the Mongols, Jalairtai Qorchi ravaged Korea. When one of Yeku's envoys arrived, Gojong personally met him at his new palace in Sin Chuan-bug. Gojong finally agreed to move the capital back to the mainland, and sent his stepson Angyeong as a hostage. The Mongols agreed to a cease fire in January 1254.

Question: Once which leader came to power within the Mongols did they choose to make similar demands?
Möngke Khan