Question

Is there a cooldown that is shared by account/server and not by character? If it exists, what's the time of the cooldown?

Comments

Not sure I understand the question. Cooldown for what exactly? :)

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Everything.

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'What do you want? Everything. I want everything and I will take whatever I get.' xD

Answer 1

Cool-down per Account:

•  Non-transferable Tibia coins- Cool-down of 6 months since the purchase - otherwise is with restrictions. 

Cool-down as per world:

•  Quests which can be done once a day per world : Annihilator Quest 
•  Bosses from Mini- Word changes, like: Raging Mage 
•  Rare bosses from the raids and monsters with the single spawn- as an example  Zushuka, Ocyakao, Man In the cave, Zuluzza the Corruptor, Shlorg - Cool-down depending on the boss. 
• Tasks related to Word Events- like dropping items into the cauldron. Once enough number of product is dropped, cool-down is for every single character on the world. 
• Items which are used and are with cool-down, examples: Mysterious Voodoo Skull 

Not really a cool-down, it is more a limit placed on the accounts:

- Invalid reports & pending reports -  Cool-down till reports are resolved You may only have 2 pending reports (Rule Violations) at a time (excluding bot/macro reports).Cool-down due too many invalid attempts You will not be able to make any reports if you have made too many invalid reports in the last 30 days.

- Bidding the houses- 

•  Cool-down till auction is finished - "You can only bid on one house per account at a time and you can either only bid on a house or transfer a house at a time." -  https://www.tibia.com/news/?subtopic=newsarchive&id=5272 

- Bidding the characters- two types:

• Cool-down till auction is finished you can ran only one character auction per account.  
• Cool-down till characters are processed for deletion (60 days cold down) when you have 25 characters on your account, where only 17 is active as you have deleted few of your characters, you will have to wait for the characters to be deleted, till that moment you will not be able to bid on new characters. https://www.tibia.com/forum/?action=thread&postid=39034992#post39034992  

- World transfer- this is for new servers, or servers which are about to merge. Those may wary. 

Links:

https://www.tibiaqa.com/18666/what-quests-can-only-be-completed-once-a-day-per-world?show=18666#q18666

 https://www.tibia.com/news/?subtopic=newsarchive&id=5272 

https://tibia.fandom.com/wiki/Character_Auctions#:~:text=Also%20note%20that%20you%20may%20only%20auction%20one%20character%20at%20a%20time.

https://tibia.fandom.com/wiki/Report_Feature#:~:text=regarding%20signature%20reports.-,Character%20Page%20Comment%20Report%20Feature,manual%20page%20regarding%20board%20reports.