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There is nothing proven by any player or Tibia-related pages about earning achievements using Tibia's daily rewards system, taking advantage of the subject, I will leave more on the subject if you have further questions.
"The Daily Reward System (or Daily Rewards System in Portuguese) is a daily access reward system implemented in the Summer Update 2017. The system basically works as follows: in the temples and depots of the main cities there is a Reward Shrine."
Recompensas Diárias - Tibia Wiki
My reward streak currently is 1177, no there doesn't seem to be any sort of achievement or secret reward other than what's provided from the daily reward system itself.
Christmas Lottery IIIDecember 03, 2020
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