feat: introduce dependency injection framework (#4091)

* feat: migrate frontend notifications to dependency injection based notificaton manager

* fix: lint

* fix: issues

* fix: compile error + notif binding issue

* refactor: move org context to new DI setup

* feat: migrate app notifications to DI + frontend styling

* fix: sidebar issues

* fix: dont use delete in computed

* fix: import and prop issue

* refactor: move handleError to main notification manager class

* fix: lint & build

* fix: merge issues

* fix: lint issues

* fix: lint issues

---------

Signed-off-by: IMB11 <hendersoncal117@gmail.com>
Signed-off-by: Cal H. <hendersoncal117@gmail.com>

apps/frontend/src/app.vue

@@ -1,11 +1,14 @@
 <template>
   <NuxtLayout>
     <ModrinthLoadingIndicator />
-    <Notifications />
+    <NotificationPanel />
     <NuxtPage />
   </NuxtLayout>
 </template>
 <script setup lang="ts">
+import { NotificationPanel, provideNotificationManager } from "@modrinth/ui";
+import { FrontendNotificationManager } from "./providers/frontend-notifications.ts";
 import ModrinthLoadingIndicator from "~/components/ui/modrinth-loading-indicator.ts";
-import Notifications from "~/components/ui/Notifications.vue";
+
+provideNotificationManager(new FrontendNotificationManager());
 </script>