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In case the Continue/Confirm Appointment button doesn't perform any actions when you click it, there is probably a misconfiguration related to the ZIP Code and the ZIP Restrictions.

Within the settings of your services, make sure the Enable Zip Restriction parameter is disabled (unless your services are actually performed only in certain areas), otherwise a ZIP code validation will be required while trying to confirm the order, which can be done through a specific custom field that should be used to enter the user's ZIP.

In addition, from the Global Configuration of VikAppointments, make sure the ZIP Code Field parameter is set to None.