I just got the Emblem "Playin' the odds" which I both can see in my "Recently Discovered" and in my Emblems, but if I look at the gambit badge it is still gray.
I have tried to restart the game and that didn't help.
Pictures:
https://ibb.co/82C9f4N
https://ibb.co/Lv14dMc
https://ibb.co/ZdbbMjK
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The Playin’ the Odds emblem is broken for the umpteenth time is millennium. I believe Bungie is working on it.