So, it's clear that the phone will get the update definitely, but it actually depends on region where you live and condition whether your phone is locked to your carrier or unlocked.
If the phone is locked, then you will get the Android 13 update when it's released for your region. If its carrier locked, then it will be a week or two.
As I search in Google, the schedule for Android 13 is mentioned here for Samsung Galaxy phones https://blucellphones.us/samsung-android-13-update-list/
It's December 25 right now, and you might have got this update because it's already available in Asian and European countries.