add NestingScreen

lib/main.dart

@@ -1,6 +1,7 @@
 import 'package:demo_app/form_test.dart';
 import 'package:demo_app/issue_1619_repro.dart';
 import 'package:demo_app/issue_1677_repro.dart';
+import 'package:demo_app/nesting_screen.dart';
 import 'package:demo_app/swipe_test.dart';
 import 'package:flutter/material.dart';
 import 'package:flutter_test/flutter_test.dart';
@@ -73,6 +74,14 @@ class _MyHomePageState extends State<MyHomePage> {
         child: Column(
           mainAxisAlignment: MainAxisAlignment.center,
           children: [
+            ElevatedButton(
+              onPressed: () {
+                Navigator.of(context).push(
+                  MaterialPageRoute(builder: (_) => const NestingScreen()),
+                );
+              },
+              child: const Text('Nesting Test'),
+            ),
             ElevatedButton(
               onPressed: () {
                 Navigator.of(context).push(

lib/nesting_screen.dart

@@ -0,0 +1,58 @@
+import 'package:flutter/material.dart';
+
+class NestingScreen extends StatefulWidget {
+  const NestingScreen({super.key});
+
+  @override
+  State<NestingScreen> createState() => _NestingScreenState();
+}
+
+class _NestingScreenState extends State<NestingScreen> {
+  int count = 0;
+
+  @override
+  Widget build(BuildContext context) {
+    const padding = EdgeInsets.symmetric(horizontal: 48, vertical: 64);
+
+    return Scaffold(
+      appBar: AppBar(
+        title: const Text('Nesting test screen'),
+      ),
+      body: Stack(
+        children: [
+          Semantics(
+            identifier: 'level-0',
+            child: Container(
+              padding: padding,
+              child: Stack(
+                children: [
+                  Semantics(
+                    identifier: 'level-1',
+                    child: Container(
+                      color: Colors.blue,
+                      padding: padding,
+                      child: Stack(
+                        children: [
+                          Semantics(
+                            identifier: 'level-2',
+                            child: Container(
+                              color: Colors.orange,
+                              padding: padding,
+                            ),
+                          ),
+                          const Text('Container at level 2'),
+                        ],
+                      ),
+                    ),
+                  ),
+                  const Text('Container at level 1'),
+                ],
+              ),
+            ),
+          ),
+          const Text('Container at level 0'),
+        ],
+      ),
+    );
+  }
+}