Looking at the sammobile site here > https://www.sammobile.com/news/every-samsung-galaxy-device-updated-to-android-13-one-ui-5-0/ Yes it will.
However updates are sent out in waves dependent on region, phone model, serial and build number.
A phone supplied by a network may have it's own rollout schedule due to the network wanting to test the update.
Sometimes using Samsung Smartswitch can yield results too @Bolt124
Daily Driver > Samsung Galaxy s²² Ultra 256Gb in Phantom Black.
The advice I offer is my own and does not represent Samsung’s position.
I'm here to help. " This is the way. "