Make session status check query Authentik actively

Create real-time session verification against Authentik:
- Add /api/auth/status endpoint that reads Authentik headers live
- Modify checkSessionStatus() to fetch from API instead of local state
- Show "Verifying..." toast while checking
- Sync local state with actual Authentik session status
- Handle connection errors gracefully

This ensures the status check reflects the current Authentik session,
not just the cached local state.

nuxt4/app/server/api/auth/status.get.ts

@@ -0,0 +1,36 @@
+/**
+ * API endpoint para verificar el estado de autenticación en tiempo real
+ * Consulta los headers inyectados por Authentik Proxy Outpost
+ */
+export default defineEventHandler((event) => {
+  // Leer headers de Authentik en tiempo real
+  const headers = getHeaders(event)
+
+  const username = headers['x-authentik-username']
+  const email = headers['x-authentik-email']
+  const name = headers['x-authentik-name']
+  const groups = headers['x-authentik-groups']
+  const uid = headers['x-authentik-uid']
+
+  // Si no hay username, no hay sesión activa en Authentik
+  if (!username) {
+    return {
+      authenticated: false,
+      user: null,
+      timestamp: new Date().toISOString()
+    }
+  }
+
+  // Sesión activa
+  return {
+    authenticated: true,
+    user: {
+      username,
+      email,
+      name,
+      groups: groups ? groups.split('|') : [],
+      uid
+    },
+    timestamp: new Date().toISOString()
+  }
+})