test: 관리자 화면 e2e를 실제 로그인 흐름으로 전환

tests/e2e/contact-submit.spec.ts

@@ -1,5 +1,5 @@
 import { expect, test } from '@playwright/test';
-import { findInquiryByName, getAdminToken, installAdminToken } from './helpers/admin-auth';
+import { findInquiryByName, getAdminToken, loginThroughAdminUi } from './helpers/admin-auth';
 
 const username = process.env.E2E_ADMIN_USERNAME ?? 'admin';
 const password = process.env.E2E_ADMIN_PASSWORD;
@@ -48,7 +48,7 @@ test.describe('contact submit', () => {
     expect(inquiry.phone).toBe(phone);
     expect(inquiry.message).toContain(message.slice(0, 20));
 
-    await installAdminToken(page, token);
+    await loginThroughAdminUi(page, baseUrl, username, password);
     await page.goto(`${baseUrl}/admin/inquiries`);
     await expect(page.locator('.mud-main-content').getByText('문의 관리').first()).toBeVisible({ timeout: 20_000 });
   });