The Quick Search field does not update the location of a page when it is moved from one workspace to another. How do you get to move a page from one workspace to another quick search field indicate the current workspace.
Not quite sure if I understand your issue clearly. Do you mean that after moving a page from one space to another, when doing a search from the Quick Search field, the returned result is not updated with the newly moved location of the page? Perhaps some screen shots would be helpful to understand the issue better.
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