Update homepage routes to include language and mode

apps/homepage/tests/browser/responsive.spec.ts

@@ -6,7 +6,7 @@ for (const locale of ['en', 'fr', 'ar'] as const) {
   for (const width of widths) {
     test(`${locale} has no horizontal overflow at ${width}px`, async ({ page }) => {
       await page.setViewportSize({ width, height: 900 });
-      await page.goto(`/${locale}`);
+      await page.goto(`/${locale}/system`);
       const overflow = await page.evaluate(
         () => document.documentElement.scrollWidth - document.documentElement.clientWidth,
       );
@@ -19,6 +19,6 @@ test('shell remains operable at a 320 CSS pixel reflow equivalent to 200 percent
   page,
 }) => {
   await page.setViewportSize({ width: 640, height: 800 });
-  await page.goto('/fr');
+  await page.goto('/fr/system');
   await expect(page.getByRole('button', { name: 'Ouvrir le menu de navigation' })).toBeVisible();
 });