You are free the moment you chose to be.
John Warry has written some good stuff on exactly this, I'll post it up later.
Essentially he states that Rome was no longer a Republic when Caesar defeated Pompey, but rather it was a nation whose power was not based on electing officials, but on military superiority, which is of course, not a Republic. Thus the "Republic" was Pompey's army, so it wasn't a Republic, more like a military dictatorship. The defeat of Pompey exchanged one dictator for another.
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