Did your 5600G come in a official Sealed AMD Retail Box or in a different container from the Retailer?
When you put in the AMD Warranty Request you did input the processor's Serial Number correct?
If your 5600G didn't come in a official Sealed AMD Retail box than it doesn't qualify for AMD 3 year Processor in Box Warranty. Only the Retailer can give you a Warranty on that processor.
Can you upload photos of the box the processor came in and a close up of the processor's lid showing the Model number and Serial number on it?
If your 5600G came in a AMD Retail Box then I suggest you open a AMD SUPPORT - WARRANTY ticket (https://www.amd.com/en/forms/contact-us/support.html) and upload a photo of the procesor's lid and AMD Retail box. Also manually write in the processor's Serial Number if hard to read from the photo. AMD Support will be able to know if your processor is OEM/TRAY or a Refurbished processor both which are not covered by AMD Warranty.