Your code example isn’t random though, it’s a fixed offset, based on a week number.
As stated this isn’t something that can be expressed in query API I think.
You would probably have to keep track of state with something like following algorithm:
- Query a random post, store its ID
- Store a date three days ahead
- Check date, if it hadn’t passed yet show stored post
- If date had passed repeat from the start (and exclude current post from query)
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