What document does the AMO prepare if the application is complete and in order?

The correct answer is the Certificate of Registration. This document is crucial within the process as it signifies that the application has undergone a thorough review and meets the requirements set forth by the relevant regulatory body. When an application is deemed complete and in order, the Certificate of Registration serves as formal acknowledgment of the entity's eligibility to operate as a customs broker.

This certificate typically includes essential details such as the broker's name, registration number, and any pertinent licensing information, thereby allowing the customs broker to legally engage in customs-related activities. It not only confirms the broker's authorized status but also assures clients and regulatory authorities that the broker has met mandatory compliance standards.

In light of this, the other options do not accurately represent the specific document generated in this scenario. For instance, a Certificate of Compliance may be issued for compliance verification but is not the direct outcome of a completed application. The Certificate of Authorization implies permission for specific activities but is not necessarily tied to the initial registration process. Official Documentation is a vague term and does not represent a specific, recognized document related to customs brokerage. Thus, the Certificate of Registration stands out as the definitive document that aligns with the completion of a customs broker application.