Keep tmux cursor colour on theme after apps reset it

Apps like nvim clear the per-pane cursor colour with OSC 112, which made
tmux reset the outer terminal's cursor. Terminals that can't reload their
config (foot) then restore the cursor colour from whatever theme was
active at launch, leaving a mix of old and new cursor colours across
panes. Set the global cursor-colour option as a fallback so cleared panes
land on the current theme instead.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

bin/omarchy-theme-set-tmux

@@ -56,17 +56,26 @@ theme_color() {
 }
 
 sync_tmux_window_style() {
-  local background foreground
+  local background foreground cursor
 
   [[ -f $COLORS_TOML ]] || return
 
   foreground=$(theme_color foreground)
   background=$(theme_color background)
+  cursor=$(theme_color cursor)
 
   [[ -n $foreground && -n $background ]] || return
 
   tmux set-option -g window-style "fg=$foreground,bg=$background" 2>/dev/null || true
   tmux set-option -g window-active-style "fg=$foreground,bg=$background" 2>/dev/null || true
+
+  # Apps like nvim clear the per-pane cursor colour with OSC 112. Without a
+  # global fallback, tmux then resets the outer terminal's cursor, which in
+  # terminals that can't reload their config (foot) restores the colour from
+  # whatever theme was active when the terminal launched.
+  if [[ -n $cursor ]]; then
+    tmux set-option -g cursor-colour "$cursor" 2>/dev/null || true
+  fi
 }
 
 sync_tmux_pane_colors() {