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/main.dart

@@ -23,10 +23,10 @@ void main() {
   }
 
   // Используем safe root scope для гарантии защиты
-  CherryPick.openRootScope()
-      .installModules([CoreModule(talker: talker), $AppModule()]);
+  CherryPick.openRootScope().installModules([
+    CoreModule(talker: talker),
+    $AppModule(),
+  ]);
 
-  runApp(MyApp(
-    talker: talker,
-  ));
+  runApp(MyApp(talker: talker));
 }