@CrassusFantastic Excellent update! Small nitpick to start: you mentioned the month of "August" and "Christmas" in the last update.
I had also been thinking of a small detail for the TL just now -- Cleopatra and retinue had come to Rome in late 46 to work some things out with their status as "friends of Rome" (ie client kings); also in late 46 BC, Julius Caesar was departing Rome for Spain to deal with the last of the Pompeians (in what would be the Battle of Munda); Caesar returned to Rome late in the summer of 45 BC; he also petitioned for and received a fifth triumph, which would have been held in the fall (needing at least a month of planning); and nobody sails in the winter, Cleopatra naturally spent the next winter (45-44) in Rome as well. That's how, OTL, she found herself to be in the city when Julius Caesar was killed (and thus reportedly spent weeks thereafter trying to get her son recognized as Caesar's heir, which, frankly, struck me as odd in itself, but that's something else entirely).
Anyway, I bring up this chain of events, because the plan was likely for Cleopatra to depart with Caesar, and then sail home to Egypt as he sailed to Illyrium. So, while a small detail, it's likely she arrives back in Alexandria a little earlier than OTL.