This was my workflow a couple of months ago:
Alt + 3 > Tab > Enter > Shift + Enter
Super fast! Right? Alt +3 opened the Libraries panel, Tab would move the focus to the “Publish…” button, Enter to “click” it, then I’d press Shift + Enter to publish immediately.
It was great, until… Figma pushed the “Current File / Your teams / Other teams” tabs (and some other stuff in this panel).
Please create shortcuts to publish libraries without friction. Thanks!