Thanks for reaching out to us here in order to find out how to verify and look for the Samsung Care+ coverage on your beloved Samsung Galaxy S23 Ultra.
In addition to our Samsung members and moderator's replies, you may check the status of your Samsung Care+ through your Samsung members app; just look it up under Support > My status. Then, you will be able to view your device's Samsung Care+ status, similar to the one below.
"Your phone is protected by Samsung Care+." including the period validity.
For more assistance and guidance, you may contact us via our online Samsung Customer Care support channels below.