Add global auth state with composable for reactive login status

pages/login.vue

@@ -101,6 +101,7 @@ import { useRouter } from 'vue-router'
 import { AlertCircle, Check, Loader2, Lock } from 'lucide-vue-next'
 
 const router = useRouter()
+const { checkAuth } = useAuth()
 
 const formData = ref({
   email: '',
@@ -128,6 +129,9 @@ const handleLogin = async () => {
     if (response.success) {
       successMessage.value = 'Anmeldung erfolgreich! Sie werden weitergeleitet...'
       
+      // Update global auth state
+      await checkAuth()
+      
       // Redirect based on role
       setTimeout(() => {
         if (response.user.role === 'admin' || response.user.role === 'vorstand') {