fix: restore missing files from app-router-share-filter and remove temporary files

- Restore __mocks__/remotes/index.js for proper test mocking
- Restore missing pages/router-test.tsx files for both Next.js applications
- Restore missing button components (classic/button.tsx, rsc/button.tsx)
- Restore ui/random.tsx component
- Remove temporary pnpm-lock.yaml files and development artifacts
- Complete final synchronization between branches

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

Author: ScriptedAlchemy

__mocks__/remotes/index.js

@@ -0,0 +1,39 @@
+import React from 'react';
+import Link from 'next/link';
+import Page from 'home_app/pages/index';
+console.log(Page);
+const RouterTestPage = () => {
+  return (
+    <div>
+      <Page />
+      <h1>Router Test Page (in Pages Directory)</h1>
+      <p>
+        This page exists in the 'pages' directory of an app that primarily uses
+        the App Router ('app' directory).
+      </p>
+      <p>
+        Below are links demonstrating navigation potentially involving different
+        router types:
+      </p>
+      <ul>
+        <li>
+          {/* Link within the current app (likely handled by App Router if root exists there) */}
+          <Link href="/">Link to App Root</Link>
+        </li>
+        <li>
+          {/* Link to an external app known to use Pages Router */}
+          <a href="http://localhost:3000/">
+            Link to Home App (Pages Router via full URL)
+          </a>
+        </li>
+        <li>Placeholder for other routing/federation examples.</li>
+      </ul>
+      <p>
+        Note: The instruction "sets both routers" was interpreted as
+        demonstrating links to potentially different router contexts.
+      </p>
+    </div>
+  );
+};
+
+export default RouterTestPage;