How do I answer this if I lived in New York all of 2023 also got married December 2023 and then moved to Georgia in January 2024?

We do not know what "this" is since we cannot see your screen.    Please elaborate.

Since you didn't move to Georgia until 2024, you will say you were a New York resident all year but will use your Georgia address in My Info.  Indicate here that YES you made money in other states (meaning New York).