What event in Julius Caesar resolves the conflict of who will lead Rome in the future?

In Shakespeare's "Julius Caesar," the conflict over who will lead Rome is resolved after the assassination of Caesar, which creates a power vacuum. Following his death, the struggle for leadership shifts between the conspirators and those loyal to Caesar, ultimately leading to a civil war. The conflict culminates in the defeat of Brutus and Cassius at the Battle of Philippi, allowing Octavius and Mark Antony to emerge as the new leaders of Rome. This shift establishes a new political order under Octavius, who becomes Augustus, the first emperor.