Repository: flutter
Issue: [video_player] headers are not set on Android
Labels: platform-android,p: video_player,package,has reproducible steps,P2,team-android,triaged-android,found in release: 3.22

### Steps to reproduce

1. Overgive an url to the `VideoPlayerController.networkUrl` 
2. The url normally returns a set-cookie header but on android the cookie is not saved
3. Error on init

### Expected results

The player should save the cookie on android and then proceed to play the video.

### Actual results

The player does not set the cookie inside of the headers.

### Code sample

<details open><summary>Code sample</summary>

```dart
 _controller = VideoPlayerController.networkUrl(
      Uri.parse(widget.streamUrl.url),
    );
```

</details>


### Screenshots or Video

_No response_

### Logs

_No response_

### Flutter Doctor output

[✓] Flutter (Channel stable, 3.22.1, on macOS 14.5 23F79 darwin-arm64, locale en-IT)
    • Flutter version 3.22.1 on channel stable at /Users/devluke/.local/share/mise/installs/flutter/3.22.1-stable
    • Upstream repository https://github.com/flutter/flutter.git
    • Framework revision a14f74ff3a (2 weeks ago), 2024-05-22 11:08:21 -0500
    • Engine revision 55eae6864b
    • Dart version 3.4.1
    • DevTools version 2.34.3

[✓] Android toolchain - develop for Android devices (Android SDK version 34.0.0)
    • Android SDK at /Users/devluke/Library/Android/sdk
    • Platform android-34, build-tools 34.0.0
    • Java binary at: /Applications/Android Studio.app/Contents/jbr/Contents/Home/bin/java
    • Java version OpenJDK Runtime Environment (build 17.0.10+0-17.0.10b1087.21-11572160)
    • 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 2023.3)
    • 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+0-17.0.10b1087.21-11572160)

[✓] IntelliJ IDEA Ultimate Edition (version 2024.1.2)
    • IntelliJ at /Users/devluke/Applications/IntelliJ IDEA Ultimate.app
    • Flutter plugin version 79.1.3
    • Dart plugin version 241.17502

[✓] VS Code (version 1.89.1)
    • VS Code at /Applications/Visual Studio Code.app/Contents
    • Flutter extension version 3.90.0

[✓] Connected device (4 available)
    • sdk gphone64 arm64 (mobile)     • emulator-5554         • android-arm64  • Android 14 (API 34) (emulator)
    • macOS (desktop)                 • macos                 • darwin-arm64   • macOS 14.5 23F79 darwin-arm64
    • Mac Designed for iPad (desktop) • mac-designed-for-ipad • darwin         • macOS 14.5 23F79 darwin-arm64
    • Chrome (web)                    • chrome                • web-javascript • Google Chrome 125.0.6422.142

[✓] Network resources
    • All expected network resources are available.