feat: show unseen count in macos dock

Resolves #93

js/src/features/network-root.tsx

@@ -11,6 +11,8 @@ import { ToggleGroup, ToggleGroupItem } from "@/components/ui/toggle-group";
 import { useViewModeStore } from "@/stores/view-mode-store";
 import { useStreamParticles } from "@/hooks/use-stream-particles";
 import { useStreamKeyboardNav } from "@/hooks/use-stream-keyboard-nav";
+import { useDockBadge } from "@/hooks/use-dock-badge";
+import { useAuthStore } from "@/stores/auth-store";
 
 /**
  * Route-level component for /:networkId (index).
@@ -24,6 +26,8 @@ export default function NetworkRoot() {
   const setViewMode = useViewModeStore((s) => s.setViewMode);
 
   const { streams } = useStreamParticles(path);
+  const userId = useAuthStore((s) => s.user?.id);
+  useDockBadge(streams, userId);
   const [composeActive, setComposeActive] = useState(false);
 
   const { selectedIndex } = useStreamKeyboardNav({