Performing a full wipe and reimage of the laptops is the best control to prevent the exposure of personal information when redeploying laptops within an organization. This is because a full wipe and reimage ensures that all data, including personal information, is securely erased from the laptops and replaced with a fresh installation of the operating system and applications. This reduces the risk of data leakage, unauthorized access, or data recovery by malicious actors or unauthorized users. The other options are not as effective or sufficient as a full wipe and reimage, as they do not guarantee the complete removal of personal information from the laptops.