The correct answer is true.
It is true that throughout the rest of the story, Zeus works tirelessly for this goal, in his conceit and power wanting to prove that Achilles is a strong warrior that he can claim as his work. Zeus encourages Agamemnon repeatedly to join in the fighting, even though multiple truces and deals are made by both sides, pausing the fighting to burn their dead, or accepting a deal based on the outcome of a duel.
We are referring to the epic story of the "Iliad," written by the famous Greek poet Homer who also wrote the "Oddysey.".
The story continues and the god Zeus falls asleep and cannot avoid other gods to intervene. That is why he sends the god of war -Apollo- to help the Trojans.