Hello Umutcan GÖK,
To answer your request directly: neither I nor general Microsoft Support staff can retrieve or regenerate a product key that has been physically damaged on a scratch-off card, nor do we have access to the specific "Customer Switcher" system you mentioned. Product keys included in physical packaging (OEM or FPP) are treated as physical assets; there is no centralized database that links the serial number on the outer packaging or the DVD media itself to the concealed 25-character product key. This architecture exists to prevent fraud and theft prior to the sale. Consequently, sending scanned documents or media to me or any online support agent poses a security risk to you and will not result in the recovery of the key, as the data simply does not exist in our viewable systems.
You must pursue the solution through the reseller or the importer (Arena) as Dell technical support correctly advised. Since this involves a physical defect (the damaged scratch-off layer) and a specific inventory system ("Customer Switcher"), the reseller is the only entity authorized to process what is essentially a "Damaged on Arrival" or defective merchandise claim. They can issue a Return Merchandise Authorization (RMA) to physically exchange the damaged license kit for a new one, or if they are a Cloud Solution Provider (CSP), they might have the ability to invalidate the old stock unit and issue a digital replacement via their specific portal. You should formally request a physical exchange of the damaged unit rather than just asking for a code look-up.
Before you send the package back, you might try one physical recovery method known as the "pencil rub" technique if the paper itself is not torn. Place a piece of thin paper over the damaged area and lightly rub a soft pencil over it; sometimes the impact of the printing press leaves an indentation of the characters that can be read even if the ink is scratched off. If that fails, stick strictly to the exchange process with your sub-reseller/importer.
I hope you've found something useful here. If it helps you get more insight into the issue, it's appreciated to accept the answer. Should you have more questions, feel free to leave a message. Have a nice day!