The default for “move focus to the floating window” is ⌃F6, but that seems to be used by the editor here on SO, so I needed to change it to test it while composing this answer (I used ⌥F6).You may need to reassign the shortcuts.To focus the floating window without using the mouse, you can use the “full keyboard access” shortcuts (enable them in System Preferences, search for “full keyboard access”, it (and the extra shortcuts it enables) are under the “Keyboard Navigation” subtree.This selects the next ‘misspelled’ word and opens the Spelling floating window.This selects the next ‘misspelled’ word.Not all applications may have these menu items. There are standard shortcuts for the built-in spell checking. Activate “Mouse Keys” (in System Preferences, search for “mouse keys”, turn it on).
