Shortcut for next search result in Acrobat search (advanced Find) panel

I'm seeking a keyboard shortcut that moves the focus in the document window to, and indicates that location in the search list,  the next (or previous) search result found by what has variously been called "full Acrobat search," "advanced search," and simply "the search window."  F3 or Command + G (evidenlty originated for the ordinary Find operation) will move the cursor to, and highlight, the next result in the document window (or the previous when also pressing Shift), but neither shortcut will result in showing in the search result list which result is now displayed in the document window. The search window is the superior method for searching, as it shows a text excerpt for each result, and page number when the mouse is run over the result.  Is there a shortcut that will both move the document windown focus to the next (or previous) result, and highlight that result in the results list?