fix: user registration with email support

pages/auth/register.tsx

@@ -17,6 +17,7 @@ export default function RegisterPage() {
 
         const formData = new FormData(e.currentTarget);
         const username = formData.get('username') as string;
+        const email = formData.get('email') as string;
         const password = formData.get('password') as string;
         const confirmPassword = formData.get('confirmPassword') as string;
 
@@ -30,7 +31,7 @@ export default function RegisterPage() {
             const response = await fetch('/api/v1/auth/register', {
                 method: 'POST',
                 headers: { 'Content-Type': 'application/json' },
-                body: JSON.stringify({ username, password })
+                body: JSON.stringify({ username, email, password })
             });
 
             const data = await response.json();
@@ -79,6 +80,19 @@ export default function RegisterPage() {
                             </div>
                         </div>
 
+                        <div className="space-y-2">
+                            <label className="text-[10px] font-mono text-gray-400">EMAIL</label>
+                            <div className="relative">
+                                <input
+                                    name="email"
+                                    type="email"
+                                    className="w-full bg-black/50 border border-gray-800 focus:border-cyber-pink text-white p-2.5 pl-8 rounded-sm outline-none font-mono text-sm"
+                                    required
+                                />
+                                <Mail className="absolute left-2.5 top-3 text-gray-600 w-3 h-3" />
+                            </div>
+                        </div>
+
                         <div className="space-y-2">
                             <label className="text-[10px] font-mono text-gray-400">PASSWORD</label>
                             <div className="relative">