I'm cool with going right around this actor's actual age as opposed to any other BTS notes or suppositions based on dialogue.
But the dialogue is part of the storytelling continuity, while an actor’s age isn’t. From IMDb:
Captain Christopher Pike : We met at the Academy. Been a couple thousand light-years since then.
Philippa Georgiou : Indeed.
Captain Christopher Pike : You were a force to be reckoned with. Sharpest tool in the shed. And despite being able to drink any of us under the table, you had every regulation down by week two.
The last sentence especially suggests a level of familiarity shared by cadets in the same class, so even Georgiou’s own birth year of 2202 would be an option, though we could stretch it a bit to 2205 and imagine stories being told about the older Georgiou at parties.Philippa Georgiou : Indeed.
Captain Christopher Pike : You were a force to be reckoned with. Sharpest tool in the shed. And despite being able to drink any of us under the table, you had every regulation down by week two.