refactor: Add @vercel/analytics dependency and integrate Analytics component in layout

pnpm-lock.yaml

@@ -8,6 +8,9 @@ importers:
 
   .:
     dependencies:
+      '@vercel/analytics':
+        specifier: ^1.5.0
+        version: 1.5.0(next@15.5.5(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(react@19.1.0)
       bcrypt:
         specifier: ^6.0.0
         version: 6.0.0
@@ -623,6 +626,32 @@ packages:
     cpu: [x64]
     os: [win32]
 
+  '@vercel/analytics@1.5.0':
+    resolution: {integrity: sha512-MYsBzfPki4gthY5HnYN7jgInhAZ7Ac1cYDoRWFomwGHWEX7odTEzbtg9kf/QSo7XEsEAqlQugA6gJ2WS2DEa3g==}
+    peerDependencies:
+      '@remix-run/react': ^2
+      '@sveltejs/kit': ^1 || ^2
+      next: '>= 13'
+      react: ^18 || ^19 || ^19.0.0-rc
+      svelte: '>= 4'
+      vue: ^3
+      vue-router: ^4
+    peerDependenciesMeta:
+      '@remix-run/react':
+        optional: true
+      '@sveltejs/kit':
+        optional: true
+      next:
+        optional: true
+      react:
+        optional: true
+      svelte:
+        optional: true
+      vue:
+        optional: true
+      vue-router:
+        optional: true
+
   acorn-jsx@5.3.2:
     resolution: {integrity: sha512-rq9s+JNhf0IChjtDXxllJ7g41oZk5SlXtp0LHwyA5cejwn7vKmKp4pPri6YEePv2PU65sAsegbXtIinmDFDXgQ==}
     peerDependencies:
@@ -2360,6 +2389,11 @@ snapshots:
   '@unrs/resolver-binding-win32-x64-msvc@1.11.1':
     optional: true
 
+  '@vercel/analytics@1.5.0(next@15.5.5(react-dom@19.1.0(react@19.1.0))(react@19.1.0))(react@19.1.0)':
+    optionalDependencies:
+      next: 15.5.5(react-dom@19.1.0(react@19.1.0))(react@19.1.0)
+      react: 19.1.0
+
   acorn-jsx@5.3.2(acorn@8.15.0):
     dependencies:
       acorn: 8.15.0