The search term in a view becomes the default search term in the result documents. Or the option to copy the search term to the clipboard when searching in the view

When you use Ctrl+F in the document screen, the search term in the previous view is automatically set into the search box, so you don't have to retype it.
Another approach would be to add a mechanism to copy search terms from the view to the clipboard when searching. The reason is that the search term is available not only in the document but also in a file attached to the document by Ctrl+V on it's search box.
If you are searching with more than one word, I think one idea would be to select the first word. Do you have a better idea?

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RELATED IDEAS

The search term in a view becomes the default search term in the result documents. Or the option to copy the search term to the clipboard when searching in the view