If you purchased an extension from the Extension Warehouse, you must reinstall it from the Extension Warehouse from inside SketchUp in order to properly migrate your license. The ExtensionStore includes some tools for automating this process (if you originally downloaded the extension from the ExtensionStore) whereas with the Extension Warehouse, you can go to the ‘Downloads’ section to see a list of all extensions you have previously downloaded so you can easily go through the list and re-download the latest version of the extensions you wish to migrate.
To avoid compatibility, loading, or license errors, the recommended method is to reinstall the latest version of your extension by downloading it from the same website that you originally received it. How do I move my SketchUp Extensions to a new computer? Or move them to a new version of SketchUp?