Good morning, @fusonk ...
Unfortunately, there is nothing built-in to Canvas that allows you to post an announcement or an assignment to your course and have it automatically post to all other relevant courses. You would need to import these pieces from one course to another.
There is a possible work-around...if you have Canvas Commons. Essentially, it would involve sharing an assignment to Canvas Commons and then importing that assignment from Commons to each course. Then, if you have any changes to make to that assignment, you make the changes in the original assignment, and then you tell Commons to update all the "linked" courses. It's sort of an "update once, distribute to many" concept. But, I'm not sure if that would totally meet your needs or not.
I hope this will help in some way. Take care, stay safe, and be well.
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