You can report to the Education Bureau according to the date filled in the registration card, or you can wait until the reassignment of the work unit is implemented before going through the registration and employment procedures. It should be noted that the validity period of the registration card is different from the registration time filled in. The registration card is valid for two years. Within the validity period of the registration card, you can apply for reassignment, and then go through the employment registration formalities at your work unit or personnel relations management institution. After the registration card goes through the formalities of employment registration, the file will be stored in the personnel file as the file of employment and employment time, as the basis for determining and calculating the length of service.
In addition, the actual practices vary from place to place, so you need to find the local education administrative departments and personnel management organs to understand the specific requirements and processes.