The King and the Clown

Set in the late 15th century during the reign of King Yeonsan, two male street clowns and tightrope walkers, Jangsaeng (Kam Woo-sung) and Gong-gil (Lee Joon-gi), are part of an entertainer troupe. Their manager prostitutes the beautiful Gong-gil to rich customers, and Jangsaeng is sickened by this practice. After Gong-gil kills the manager in defense of Jangsaeng, the pair flee to Seoul, where they form a new group with three other street performers.
Together the group comes up with a skit mocking some members of the royal court, including the king and his new concubine Jang Noksu. After they are arrested for treason, Jangsaeng makes a deal with Choseon, who turns out to be one of the king's servants, either to make the king laugh at their skit or to be executed. They perform their skit for the king, but the three minor performers are too terrified to perform well. Gong-gil and Jangsaeng barely save themselves with one last joke at the king, who laughs and then makes them part of his court. The king falls for the effeminate Gong-gil, whom he calls to his private chambers often to perform finger puppet shows. Jangsaeng becomes jealous of this relationship. Meanwhile, the king becomes more and more unstable. He makes the clowns perform a skit depicting how his mother, the favorite concubine of the former king, was forced to take poison after being betrayed by other jealous concubines. The king then slaughters these concubines at the end of the play. Jangsaeng asks Gong-gil to leave with him and the gang at once before the king kills them too during one of his homicidal fits. Gong-gil, who initially sympathized with the king, begs the tyrant to give him his freedom but the king refuses.
The king's main concubine, Jang Noksu, becomes enraged by the attention the king has been lavishing on Gong-gil. The council members try to have him killed during a hunting trip, resulting in the death of one of the members of the street performing team. Days after the hunting trip, the king forcibly kisses Gong-gil. Then, Jang Noksu tries to have him jailed by having flyers run in Gong-gil's handwriting insulting the king severely. Jangsaeng takes the blame for the crime for which Gong-gil has been falsely accused and is imprisoned.
Choseon secretly releases Jangsaeng, telling him that he should forget Gong-gil and leave the palace. But Jangsaeng ignores the advice and returns to walk on his tightrope across palace rooftops, this time openly and loudly mocking the king. The king shoots arrows at him while Gong-gil tries in vain to stop him. Jangsaeng falls and is caught, and has his eyes seared with burning iron as punishment before being thrown into prison again. Gong-gil attempts suicide, but his life is saved by the palace doctors. The king has Jangsaeng walk his tightrope blind. As Jangsaeng tells the story of his and Gong-gil's trials and tribulations while balancing on the rope, Gong-gil runs out to join him. Gong-gil asks Jangsaeng what he would like to return as in his next life and Jangsaeng replies that he would still choose to be a clown. Gong-gil answers that he too would return as nothing else but a clown.
Throughout the film, the tyranny of the king and corruption of his courts is revealed. At the very end there is a popular uprising resulting in an attack on the palace, and as people storm the court, Jangsaeng and Gong-gil jump up from the rope together, and Jangsaeng tosses away his fan. The last scene is a happy one where Jangsaeng and Gong-gil appear to be reunited with their clowning troupe, including the friend who died earlier during the hunting incident. The whole company jokes, sings and dances, as they all walk away cheerfully into the distance.[2][3][4]

Question: what act was asked to perform by the king?
Answer: Finger puppet show