메인 연결 페이지의 탭 종료와 복귀 동작 통일

app/game-frontend/src/composables/usePageExit.ts

@@ -0,0 +1,16 @@
+import { useRouter } from 'vue-router';
+import { isAuxiliaryWindow } from '../utils/auxiliaryNavigation';
+
+export const usePageExit = (): { pageExitLabel: '창 닫기' | '돌아가기'; exitPage: () => void } => {
+    const router = useRouter();
+    const canClose = isAuxiliaryWindow();
+    const pageExitLabel = canClose ? '창 닫기' : '돌아가기';
+    const exitPage = (): void => {
+        if (canClose) {
+            window.close();
+            return;
+        }
+        void router.push('/');
+    };
+    return { pageExitLabel, exitPage };
+};