Answer
A local vaccination certificate is obtained after the vaccination data are entered into the Uruguayan system. The result is a Uruguayan vaccination certificate that can be printed out.
If a person has vaccination records, they can be used to transfer the data. What matters is not the appearance of the old certificate, but whether it makes it possible to determine which vaccines have already been administered and when.
If some information is missing, the health centre may offer to administer the missing vaccinations according to the local schedule. After moving, the task is therefore not merely to keep the old record but to bring the data into a Uruguayan format that schools, doctors, and institutions will understand when it is needed in the future.