Add a product search box to every admin page (not just Products page)

Hello,

Our bookstore does multiple small edits to Product records every day and it would be a huge timesaver if I could put a Product Search box at the top of every admin page so we don’t always have to go back to the Products page to search for the next item after updating the last one.

I can find tons of search box options for the front-end, but nothing for the admin area.

Is there a plugin, or a snippet, or something I could add to the template files to do this?

Thanks in advance!