Revert "Add code sharing sample (#1444)" (#1464)

This reverts commit fc6222ebc8.

web/samples_index/lib/src/samples.yaml

@@ -109,24 +109,6 @@ samples:
     links: []
     type: sample
 
-  - name: Code Sharing
-    author: Flutter
-    screenshots:
-      - url: images/code_sharing.jpg
-        alt: Counter app communicating with server
-    source: https://github.com/flutter/samples/tree/main/code_sharing
-    description: >
-      Demonstrates simple way to share business logic between a Flutter app and
-      a server running Dart.
-    difficulty: intermediate
-    packages:
-      - freezed
-      - shelf
-    tags: ['intermediate', 'sample', 'code-sharing', 'dart', 'server']
-    platforms: ['android', 'ios', 'linux', 'macos', 'web', 'windows']
-    links: []
-    type: sample
-
   - name: Animations
     author: Flutter
     screenshots: