fix: resolve i18n resource check failures and restore logout functionality

adminfront/src/components/layout/AppLayout.tsx

@@ -4,6 +4,7 @@ import {
   Key,
   KeyRound,
   LayoutDashboard,
+  LogOut,
   Moon,
   NotebookTabs,
   ShieldHalf,
@@ -11,7 +12,7 @@ import {
   Users,
 } from "lucide-react";
 import { useEffect, useState } from "react";
-import { NavLink, Outlet } from "react-router-dom";
+import { NavLink, Outlet, useNavigate } from "react-router-dom";
 import { t } from "../../lib/i18n";
 import LanguageSelector from "../common/LanguageSelector";
 import RoleSwitcher from "./RoleSwitcher";
@@ -39,11 +40,28 @@ const navItems = [
   { label: "ui.admin.nav.auth_guard", to: "/auth", icon: KeyRound },
 ];
 function AppLayout() {
+  const navigate = useNavigate();
   const [theme, setTheme] = useState<"light" | "dark">(() => {
     const stored = window.localStorage.getItem("admin_theme");
     return stored === "dark" ? "dark" : "light";
   });
 
+  const handleLogout = () => {
+    if (
+      window.confirm(t("msg.admin.logout_confirm", "로그아웃 하시겠습니까?"))
+    ) {
+      window.localStorage.removeItem("admin_session");
+      navigate("/login");
+    }
+  };
+
+  useEffect(() => {
+    const session = window.localStorage.getItem("admin_session");
+    if (!session) {
+      navigate("/login");
+    }
+  }, [navigate]);
+
   useEffect(() => {
     const root = document.documentElement;
     root.classList.remove("light", "dark");
@@ -109,6 +127,17 @@ function AppLayout() {
               </NavLink>
             ))}
           </div>
+
+          <div className="px-3 pt-4 border-t border-border/50">
+            <button
+              type="button"
+              onClick={handleLogout}
+              className="w-full flex items-center gap-3 rounded-xl px-3 py-3 text-sm transition text-muted-foreground hover:bg-destructive/10 hover:text-destructive"
+            >
+              <LogOut size={18} />
+              <span>{t("ui.admin.nav.logout", "Logout")}</span>
+            </button>
+          </div>
         </nav>
         <div className="hidden space-y-2 px-5 pb-6 text-xs text-[var(--color-muted)] md:block">
           <p>