[video_player_web] Remove stale package:web tweaks (#11820)

Removes stale `package:web` helper setters for `disablePictureInPicture` and `disableRemotePlayback` from `video_player_web`.

These APIs are available directly from `package:web` 1.0.0, so this updates the package's minimum supported `web` version to `>=1.0.0 <2.0.0`. The `controlsList` helper is intentionally kept because `package:web` does not expose it yet.

Fixes flutter/flutter#187430

## Tests

```console
dart run script/tool/bin/flutter_plugin_tools.dart analyze --packages video_player_web
dart run script/tool/bin/flutter_plugin_tools.dart test --packages video_player_web
flutter pub downgrade && dart analyze --fatal-infos
flutter test --platform=chrome
```

## Notes

No new tests were added because this removes stale compatibility helpers and preserves the existing runtime calls. Existing package tests and lower-bound analysis pass.

The `example/integration_test` suite was not run locally because Flutter reported: `Web devices are not supported for integration tests yet.`

## Pre-Review Checklist

**Note**: The Flutter team is currently trialing the use of [Gemini Code Assist for GitHub](https://developers.google.com/gemini-code-assist/docs/review-github-code). Comments from the `gemini-code-assist` bot should not be taken as authoritative feedback from the Flutter team. If you find its comments useful you can update your code accordingly, but if you are unsure or disagree with the feedback, please feel free to wait for a Flutter team member's review for guidance on which automated comments should be addressed.

[^1]: This PR includes the required `pubspec.yaml` and `CHANGELOG.md` updates. No new tests were added because this is a compatibility-helper cleanup; existing tests and lower-bound analysis pass.
diff --git a/packages/video_player/video_player_web/CHANGELOG.md b/packages/video_player/video_player_web/CHANGELOG.md
index 896d80c..177b78c 100644
--- a/packages/video_player/video_player_web/CHANGELOG.md
+++ b/packages/video_player/video_player_web/CHANGELOG.md
@@ -1,5 +1,6 @@
 ## NEXT
 
+* Updates the minimum supported `package:web` version to 1.0.0.
 * Updates minimum supported SDK version to Flutter 3.38/Dart 3.10.
 
 ## 2.4.0
diff --git a/packages/video_player/video_player_web/lib/src/pkg_web_tweaks.dart b/packages/video_player/video_player_web/lib/src/pkg_web_tweaks.dart
index 32e2eb5..71b4431 100644
--- a/packages/video_player/video_player_web/lib/src/pkg_web_tweaks.dart
+++ b/packages/video_player/video_player_web/lib/src/pkg_web_tweaks.dart
@@ -4,17 +4,7 @@
 
 import 'package:web/web.dart' as web;
 
-/// Adds a "disablePictureInPicture" setter to [web.HTMLVideoElement]s.
-extension NonStandardSettersOnVideoElement on web.HTMLVideoElement {
-  // TODO(srujzs): This will be added in `package:web` 0.6.0. Remove this helper
-  // once it's available.
-  external set disablePictureInPicture(bool disabled);
-}
-
-/// Adds a "disableRemotePlayback" and "controlsList" setters to [web.HTMLMediaElement]s.
+/// Adds a "controlsList" setter to [web.HTMLMediaElement]s.
 extension NonStandardSettersOnMediaElement on web.HTMLMediaElement {
-  // TODO(srujzs): This will be added in `package:web` 0.6.0. Remove this helper
-  // once it's available.
-  external set disableRemotePlayback(bool disabled);
   external set controlsList(String? controlsList);
 }
diff --git a/packages/video_player/video_player_web/pubspec.yaml b/packages/video_player/video_player_web/pubspec.yaml
index 046b967..a69ae3c 100644
--- a/packages/video_player/video_player_web/pubspec.yaml
+++ b/packages/video_player/video_player_web/pubspec.yaml
@@ -22,7 +22,7 @@
   flutter_web_plugins:
     sdk: flutter
   video_player_platform_interface: ^6.4.0
-  web: ">=0.5.1 <2.0.0"
+  web: ^1.0.0
 
 dev_dependencies:
   flutter_test: