ui: a badge bar with a Trigger badge, and the trigger form in the slide-over

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/ui_slideover.cpp

@@ -140,7 +140,7 @@ bool slideover_open(App& app, const std::string& id) {
   }
   gtk_widget_set_can_target(s.revealer, TRUE);
   gtk_revealer_set_reveal_child(GTK_REVEALER(s.revealer), TRUE);
-  // task 2: sync_badge_bar(app);
+  sync_badge_bar(app);
   return true;
 }
 
@@ -150,7 +150,7 @@ void slideover_close(App& app) {
   s.page.clear();
   gtk_widget_set_can_target(s.revealer, FALSE);
   gtk_revealer_set_reveal_child(GTK_REVEALER(s.revealer), FALSE);
-  // task 2: sync_badge_bar(app);
+  sync_badge_bar(app);
 }
 
 bool slideover_toggle(App& app, const std::string& id) {