The toggle state was a global singleton while the bolt button renders in
every pane's tab bar, so all panes showed the same open/close state and
the single floating panel (window bottom-right, sends to the *active*
session) never corresponded to the pane whose button was clicked. A true
per-pane rework is a medium refactor for a feature that overlaps with the
inline completion and the sidebar commands panel — removing instead.