Postgresql@12-main.service fail on ubuntu linux

Hi,I’m new for for the postgresql and i got some error while running the postgresql and it’s inactive running like the following picture. I would like to know how to solve this problem thank you in advance.

please, this is a german speaking forumg. and, please, don’t post pictures with cutted error messages. it seems there is a permission problem, read the error-message.

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Oh! So sorry I will move into the other group thank you for your answer.