the easiest way is as above through members, I don't think you need any information that way ( but not sure ) I claimed mine via the way in your screenshot, pressing "claim now" and following the steps, you need your IMEI number ( IMEI 1 ) and a screenshot of your confirmation email ( or in store receipt, but unlikely right now ) the steps are quite simple you will get through them fine. you can display your IMEI by dialing *#06# in your keypad, or Settings > About Phone > IMEI 1, or IMEI 1 from your box. 😊
You have 30 days to make claim. I just purchased an S21 and delivery says up to 5 weeks. I emailed Samsung about this . They said to contact them again closer to time frame (30 days) end. I will do so in 20 days time (as it takes Samsung 5 days to reply to an email). So I do hope I am able to claim my buds , or they may give me an extension if my delivery is late( I ordered the brown S21 Ultra and this takes a little bit longer)..so I hope this helps.