A friend of mine said that when Destiny 2 launched the transmog system he gained a few "Armor Synthesis" (5) to transmog it for free. I came back playing after a couple of years and when I was checking my items then Ada and my Transmog system I didn't get anything.
When it was launched did people actually received it to test or like some "free stuff"?
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Have you fully completed the 'tying it all together' quest? You should've gotten 5 per class at the end of it. Bungie may have changed that (or it bugged) since they did away with the synthcord stuff years ago