The dialogue box you show just requires some text in the Name box. Daz Studio will not let you use File>Save without asking for a filename unless the Name entered here matches the name of the file's author, so not entering anything would be inconveinent. This is a feature to prevent accidentally over-writing content files.
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It should be here https://www.daz3d.com/downloader/customer/serialnumbers
The dialogue box you show just requires some text in the Name box. Daz Studio will not let you use File>Save without asking for a filename unless the Name entered here matches the name of the file's author, so not entering anything would be inconveinent. This is a feature to prevent accidentally over-writing content files.