feat: Implement server endpoints, store, and live dashboard

Backend: Server connection/config/admins DB queries, server API routes
with auth-gated endpoints (overview, config CRUD, admin management).
Frontend: Server store wired to API, dashboard fetches server data on
mount with live status indicators, uptime formatting, and server
config display. Logout now redirects to /login.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

frontend/src/components/layout/DashboardLayout.vue

@@ -1,5 +1,5 @@
 <script setup lang="ts">
-import { RouterView, RouterLink, useRoute } from 'vue-router'
+import { RouterView, RouterLink, useRoute, useRouter } from 'vue-router'
 import { useAuthStore } from '@/stores/auth'
 import { useServerStore } from '@/stores/server'
 import {
@@ -21,6 +21,7 @@ import {
 } from 'lucide-vue-next'
 
 const route = useRoute()
+const router = useRouter()
 const auth = useAuthStore()
 const server = useServerStore()
 
@@ -48,6 +49,7 @@ function isActive(path: string): boolean {
 
 function handleLogout() {
   auth.logout()
+  router.push('/login')
 }
 </script>