Do I need to update my immigration records before applying for a Non-B visa after getting a new passport in Thailand?

The user entered Thailand on a 60-day visa exemption but recently obtained a new passport. They are seeking advice on handling their immigration records before applying for a Non-B visa. Key suggestions include keeping the old passport, since it contains important stamps, and there are two main options: either apply for a 30-day extension obtaining stamps in the new passport or show both passports when exiting Thailand before the visa exemption expiry.