Well after a few more rounds of talking to different Samsung representatives, I was able to get them to approve my refund. For background, here's the photo indicating the requirements for a sufficient police report:
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I kept insisting that nowhere on this list does it explicitly state that an emblem is required (even though the example report has one). I asked them if I were to go into Acrobat Pro and add the emblem myself without altering any of the factual data and information, would it be approved. They put me on hold and then came back and said they would be issuing my refund.
This ordeal is pretty much over since I received an e-mail saying my trade-in process has been cancelled and I see the pending chargeback on my credit card. I also asked them if I were to re-order, would they be able to setup shipment to require signature, and they again stated that since the trade-in of my phone reduces the order amount to ~$200, that their system would not set up FedEx to require a signature and I should contact FedEx directly if I would like to request any special instructions for delivery.
I believe that I did not get back my Samsung Points which I used for this order (worth about $10). I also see now that the free accessories credit dropped to $50, when I was able to get $100 of free accessories when I placed my pre-order last week. I don't know if it's worth it to go another round with Samsung Customer Service or just cut my losses since those are minor in comparison and not try to deal with FedEx. I'm also debating just doing my trade-in with T-Mobile in-person at a store even though the trade-in deal will be monthly credits to my account instead of a full credit like Samsung.