feat: install Google Search Console verification, Tag Manager, and Analytics

Owner-provided codes: GSC verification meta tag, GTM-WMF863QM (head snippet
+ body noscript iframe), and GA4 gtag.js for G-5MB0V1M3LQ.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

index.html

@@ -19,6 +19,25 @@
     <link rel="icon" type="image/png" href="logo.png" />
     <link rel="apple-touch-icon" href="logo.png" />
 
+    <meta name="google-site-verification" content="vEK4vy89hAbckU9sUlqn7mZlMxLjNT--CvuLruocMfQ" />
+
+    <!-- Google Tag Manager -->
+    <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':
+    new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],
+    j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src=
+    'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);
+    })(window,document,'script','dataLayer','GTM-WMF863QM');</script>
+    <!-- End Google Tag Manager -->
+
+    <!-- Google tag (gtag.js) -->
+    <script async src="https://www.googletagmanager.com/gtag/js?id=G-5MB0V1M3LQ"></script>
+    <script>
+      window.dataLayer = window.dataLayer || [];
+      function gtag(){dataLayer.push(arguments);}
+      gtag('js', new Date());
+      gtag('config', 'G-5MB0V1M3LQ');
+    </script>
+
     <!-- Plausible Analytics -->
     <script defer data-domain="auraajenticai.cloud" src="https://plausible.io/js/script.js"></script>
 
@@ -307,6 +326,10 @@
     </style>
   </head>
   <body>
+    <!-- Google Tag Manager (noscript) -->
+    <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-WMF863QM"
+    height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
+    <!-- End Google Tag Manager (noscript) -->
     <div id="root"></div>
 
     <!-- React 18 -->