Repository: flutter
Issue: [material/menu_anchor.dart] Hovering over menu item affects scrolling and focus order.
Labels: framework,f: material design,has reproducible steps,P2,team-design,triaged-design,found in release: 3.22,found in release: 3.23

### Steps to reproduce

1. Run sample
2. Scroll to item 50
3. Hover over item 50 and remove your hand from the mousepad.
4. Move focus upwards using directional keys until scrolling occurs.

### Expected results

The hovered menu item should not regain focus on scroll. Traversal should continue from the item that was focused before scrolling.

### Actual results

The hovered menu item regains focus on scroll. 

### Code sample

<details open><summary>Code sample</summary>

```dart

import 'package:flutter/material.dart';

void main() => runApp(const Bug());


// Reproduce: hover cursor on item 3. Press down arrow key until you reach the
// bottom of the menu. Move cursor off item 3 then back on item 3. Press up
// arrow key.
class Bug extends StatelessWidget {
  const Bug({super.key});

  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      theme:
          ThemeData(colorSchemeSeed: Colors.blue, brightness: Brightness.dark),
      home: const BugApp(),
    );
  }
}

class BugApp extends StatefulWidget {
  const BugApp({
    super.key,
  });

  @override
  State<BugApp> createState() => _BugAppState();
}

class _BugAppState extends State<BugApp> {
  FocusNode focusNode = FocusNode();
  @override
  Widget build(BuildContext context) {
    return Material(
      child: Center(
        child: Column(
          mainAxisAlignment: MainAxisAlignment.center,
          children: [
             MenuAnchor(
              childFocusNode: focusNode,
              builder: (context, controller, child) {
                return TextButton(
                  focusNode: focusNode,
                  onPressed: () {
                    if (controller.isOpen) {
                      controller.close();
                    } else {
                      controller.open();
                    }
                  },
                  child: Text('Open'),
                );
              },
              menuChildren: [
                for(var i = 0; i < 100; i++)
                  MenuItemButton(
                    child: Text('Item $i'),
                    onPressed: () {},
                  ),
              ],
            ),
          ],
        ),
      ),
    );
  }
}

```

</details>


### Screenshots or Video

<details open>
<summary>Screenshots / Video demonstration</summary>


https://github.com/flutter/flutter/assets/59215665/67a7d9f3-2bde-4485-8cfc-5f881550bf13


</details>


### Logs

<details open><summary>Logs</summary>

```console
No applicable logs
```

</details>


### Flutter Doctor output

<details open><summary>Doctor output</summary>

```console
[✓] Flutter (Channel master, 3.23.0-13.0.pre.350, on macOS 14.0 23A344 darwin-arm64, locale en-US)
    • Flutter version 3.23.0-13.0.pre.350 on channel master at /Users/davidhicks/fvm/versions/master
    • Upstream repository https://github.com/flutter/flutter.git
    • Framework revision a52e266b79 (9 hours ago), 2024-06-26 14:59:56 -0700
    • Engine revision 1d5e3cc55a
    • Dart version 3.5.0 (build 3.5.0-299.0.dev)
    • DevTools version 2.36.0

[✓] Android toolchain - develop for Android devices (Android SDK version 34.0.0)
    • Android SDK at /Users/davidhicks/Library/Android/sdk
    • Platform android-34, build-tools 34.0.0
    • ANDROID_HOME = /Users/davidhicks/Library/Android/sdk
    • Java binary at: /Applications/Android Studio.app/Contents/jbr/Contents/Home/bin/java
    • Java version OpenJDK Runtime Environment (build 17.0.10+0-17.0.10b1087.21-11609105)
    • All Android licenses accepted.

[✓] Xcode - develop for iOS and macOS (Xcode 15.4)
    • Xcode at /Applications/Xcode.app/Contents/Developer
    • Build 15F31d
    • CocoaPods version 1.15.2

[✓] Chrome - develop for the web
    • Chrome at /Applications/Google Chrome.app/Contents/MacOS/Google Chrome

[✓] Android Studio (version 2024.1)
    • Android Studio at /Applications/Android Studio.app/Contents
    • Flutter plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/9212-flutter
    • Dart plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/6351-dart
    • Java version OpenJDK Runtime Environment (build 17.0.10+0-17.0.10b1087.21-11609105)

[✓] VS Code (version 1.90.2)
    • VS Code at /Applications/Visual Studio Code.app/Contents
    • Flutter extension version 3.90.0

[✓] Connected device (3 available)
    • macOS (desktop)                 • macos                 • darwin-arm64   • macOS 14.0 23A344 darwin-arm64
    • Mac Designed for iPad (desktop) • mac-designed-for-ipad • darwin         • macOS 14.0 23A344 darwin-arm64
    • Chrome (web)                    • chrome                • web-javascript • Google Chrome 126.0.6478.127
    ! Error: Browsing on the local area network for David’s iPhone. Ensure the device is unlocked and attached with a cable or associated with the same local area network as
      this Mac.
      The device must be opted into Developer Mode to connect wirelessly. (code -27)

[✓] Network resources
    • All expected network resources are available.

• No issues found!
```

</details>