@sweetestsand - we've only had Act 1 so far, act 2 starts on Friday act 3 a week on Sunday and the last act 2 Tuesdays later.
There's probably a set of wrap-up tasks at the end too and than the You've Finished panel.
Once you see that the Shattered Dreams box as active and you can see how many tokens you have. It won't show them an earlier and if you don't finish all prizes and quests it won't appear in your game.
I can understand the mix-up though, with there being an event Misery Box too, but they are different tokens for that and those are not available to earn through tasks, certainly for this act you can't win any of those and probably for the other acts too.
The little notepad icon in the top will once in a while offer a task for a Shattered Dreams token though, you can win those.
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PS - NO ADD ME'S List is too full, sorry
Like you I'm only a player, but I hope I can help