Wearable electronic device for cooperation with other device for managing health using artificial intellihence model, and operation method of the same

A method of operating a server, comprising:

• obtaining a nail image including a first nail region corresponding to a nail product and a first background region;
• identifying a plurality of first sub-regions within the nail region;
• generating a pattern image based on identifying representative colors corresponding to the plurality of first sub-regions, the pattern image including a second nail region comprising the plurality of first sub-regions with the representative colors assigned thereto and a second background region;
• generating a plurality of reference images based on the pattern image, each of the plurality of reference images including an image region corresponding to the second nail region and a remaining region including a design generated based on the second nail region;
• generating a plurality of vector images for the plurality of second sub-regions;
• and
• generating a printing file based on at least some of the plurality of vector images and controlling a production facility to generate a gel nail by performing 3D printing based on the printing file.