Publish web_embedding (#1777)

## 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 updated/added relevant documentation (doc comments with `///`).
- [x] All existing and new tests are passing.

If you need help, consider asking for advice on the #hackers-devrel
channel on [Discord].

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[Flutter Style Guide]:
https://github.com/flutter/flutter/wiki/Style-guide-for-Flutter-repo
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Co-authored-by: Mark Thompson
<2554588+MarkTechson@users.noreply.github.com>
Co-authored-by: David Iglesias <ditman@gmail.com>

Co-authored-by: Mark Thompson <2554588+MarkTechson@users.noreply.github.com>
Co-authored-by: David Iglesias <ditman@gmail.com>

web_embedding/ng-flutter/flutter/lib/pages/text.dart

@@ -0,0 +1,70 @@
+import 'package:flutter/material.dart';
+
+class TextFieldDemo extends StatefulWidget {
+  const TextFieldDemo({super.key, required this.text});
+  final ValueNotifier<String> text;
+
+  @override
+  State<TextFieldDemo> createState() => _TextFieldDemoState();
+}
+
+class _TextFieldDemoState extends State<TextFieldDemo> {
+  late TextEditingController textController;
+
+  @override
+  void initState() {
+    super.initState();
+    // Initial value of the text box
+    textController = TextEditingController.fromValue(
+      TextEditingValue(
+        text: widget.text.value,
+        selection: TextSelection.collapsed(offset: widget.text.value.length)
+      )
+    );
+    // Report changes
+    textController.addListener(_onTextControllerChange);
+    // Listen to changes from the outside
+    widget.text.addListener(_onTextStateChanged);
+  }
+
+  void _onTextControllerChange() {
+    widget.text.value = textController.text;
+  }
+
+  void _onTextStateChanged() {
+    textController.value = TextEditingValue(
+      text: widget.text.value,
+      selection: TextSelection.collapsed(offset: widget.text.value.length),
+    );
+  }
+
+  @override
+  void dispose() {
+    super.dispose();
+    textController.dispose();
+    widget.text.removeListener(_onTextStateChanged);
+  }
+
+  @override
+  Widget build(BuildContext context) {
+    return Scaffold(
+      appBar: AppBar(
+        backgroundColor: Theme.of(context).colorScheme.inversePrimary,
+        title: const Text('Text Field'),
+      ),
+      body: Center(
+        child: Padding(
+          padding: const EdgeInsets.all(14.0),
+          child: TextField(
+            controller: textController,
+            maxLines: null,
+            decoration: const InputDecoration(
+              border: OutlineInputBorder(),
+              hintText: 'Type something!',
+            ),
+          ),
+        ),
+      ),
+    );
+  }
+}