feat(examples): update client_app and postly implementation details

- Refactored and updated pages, router, DI modules, and feature implementations in both example projects:
  - client_app: main.dart and my_home_page.dart updated for improved navigation and structure.
  - postly: updated DI wiring, presentation pages, repository implementation, and routing logic.
- Applied small improvements and code consistency changes in the examples.

docs: add new documentation assets and benchmarking script

BREAKING CHANGE:
Examples now reflect the latest changes in the DI framework and are ready for Dart 3.8+ and cherrypick_generator element2 API compatibility.

examples/postly/lib/presentation/pages/post_details_page.dart

@@ -12,10 +12,7 @@ class PostDetailsPage extends StatelessWidget {
   Widget build(BuildContext context) {
     return Scaffold(
       appBar: AppBar(title: Text('Post #${post.id}')),
-      body: Padding(
-        padding: const EdgeInsets.all(16),
-        child: Text(post.body),
-      ),
+      body: Padding(padding: const EdgeInsets.all(16), child: Text(post.body)),
     );
   }
 }

examples/postly/lib/presentation/pages/posts_page.dart

@@ -38,8 +38,9 @@ class PostsPage extends StatelessWidget {
                   title: Text(posts[i].title),
                   subtitle: Text(posts[i].body),
                   onTap: () {
-                    AutoRouter.of(context)
-                        .push(PostDetailsRoute(post: posts[i]));
+                    AutoRouter.of(
+                      context,
+                    ).push(PostDetailsRoute(post: posts[i]));
                   },
                 ),
               ),