In Julius Caesar by William Shakespeare, what are the results of the first round of battle at Philippi, and who triumphs over whom?

During the first week of October, Brutus's forces are
faced against Octavian forces. Cassius's forces are faced against Antony's
forces.

At first, Brutus pushes Octavian's forces back. He
then entered his legions' camp.

Cassius forces faced
Antony. Antony defeats Cassius and his forces. Cassius commits suicide due to hearing a
false report that Brutus had been defeated by
Octavian.

After Cassius commits suicide, Brutus rallies
Cassius' forces and they go up against the enemy. The battle is considered a draw. Both
armies order a retreat.

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A second encounter, on 23 October, finished off
Brutus's forces, and he committed suicide in turn, leaving the triumvirate in control of
the Roman Republic.