feat: Implement _LoggedOutView UI and navigation

Implements the UI for the _LoggedOutView in home_screen.dart, including:
- A centered column layout with an icon, title, and descriptive text.
- An ElevatedButton for Login that navigates to the phone input screen using go_router.
- Ensured code formatting and resolved any linting issues.

lib/home/home_screen.dart

@@ -1,4 +1,5 @@
 import 'package:flutter/material.dart';
+import 'package:go_router/go_router.dart';
 import 'package:provider/provider.dart';
 import 'package:phone_login/auth/auth_state.dart';
 
@@ -34,6 +35,28 @@ class _LoggedOutView extends StatelessWidget {
 
   @override
   Widget build(BuildContext context) {
-    return const Center(child: Text('Logged Out'));
+    return Center(
+      child: Column(
+        mainAxisAlignment: MainAxisAlignment.center,
+        children: [
+          const Icon(Icons.lock, size: 100, color: Colors.grey),
+          const SizedBox(height: 20),
+          Text('Welcome!', style: Theme.of(context).textTheme.headlineMedium),
+          const SizedBox(height: 10),
+          const Text(
+            'Please log in to continue.',
+            textAlign: TextAlign.center,
+            style: TextStyle(color: Colors.grey),
+          ),
+          const SizedBox(height: 30),
+          ElevatedButton(
+            onPressed: () {
+              context.go('/phone');
+            },
+            child: const Text('Login'),
+          ),
+        ],
+      ),
+    );
   }
 }