This is the 40th most frequent Italian word.
già
The Italian word "già" means "already" or "yet" in English.
Here, "già" is used to emphasize that the speaker did not know the information previously.
Non lo sapevo già.
I didn't already know it.
In this sentence, "già" means "already," indicating that the action of finishing the homework has been completed prior to the current moment.
Ho già finito i compiti.
I have already finished the homework.
In this context, "già" is used colloquially to express agreement, similarly to saying "indeed" or "that's right" in English.