Dart 3.9 / Flutter 3.35 [first LLM release] (#2714)

I got carried away with Gemini and basically rewrote CI and the release
process for the new LLM reality. This work was largely completed by
Gemini.

- Bump all SDK versions to the current beta (3.9.0-0)
- Run `flutter channel beta`
- Wrote `ci_script.dart` to replace the bash scripts
- Converted repository to pub workspace #2499 
- Added llm.md and release.md
- Added redirect for deprecated Samples Index

## Pre-launch Checklist

- [x] I read the [Flutter Style Guide] _recently_, and have followed its
advice.
- [x] I signed the [CLA].
- [x] I read the [Contributors Guide].
- [x] I have added sample code updates to the [changelog].
- [x] I updated/added relevant documentation (doc comments with `///`).

add_to_app/fullscreen/flutter_module_fullscreen/test/widget_test.dart

@@ -0,0 +1,47 @@
+// Copyright 2019 The Flutter team. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+import 'package:flutter/material.dart';
+import 'package:flutter_module_fullscreen/main.dart';
+import 'package:flutter_test/flutter_test.dart';
+import 'package:provider/provider.dart';
+
+class MockCounterModel extends ChangeNotifier implements CounterModel {
+  int _count = 0;
+
+  @override
+  int get count => _count;
+
+  @override
+  void increment() {
+    _count++;
+    notifyListeners();
+  }
+}
+
+void main() {
+  testWidgets('MiniView smoke test', (tester) async {
+    // Build our app and trigger a frame.
+    await tester.pumpWidget(
+      MaterialApp(
+        home: ChangeNotifierProvider<CounterModel>.value(
+          value: MockCounterModel(),
+          child: const Contents(),
+        ),
+      ),
+    );
+
+    // Verify that our counter starts at 0.
+    expect(find.text('Taps: 0'), findsOneWidget);
+    expect(find.text('Taps: 1'), findsNothing);
+
+    // Tap the '+' icon and trigger a frame.
+    await tester.tap(find.text('Tap me!'));
+    await tester.pump();
+
+    // Verify that our counter has incremented.
+    expect(find.text('Taps: 0'), findsNothing);
+    expect(find.text('Taps: 1'), findsOneWidget);
+  });
+}