feat(ui): drop the one-word status-bar badge

The small 1️⃣ in the status bar's score-preview slot read as noise; the
single-word rule keeps its spelled-out label in the history header and
the lobby invitation card.

ui/e2e/game.spec.ts

@@ -90,16 +90,16 @@ test('new game: auto-match shows the off-by-default rule toggle from the start (
   await expect(toggle).not.toBeChecked();
 });
 
-test('single-word game shows the one-word indicator in the status bar and the history header', async ({ page }) => {
+test('single-word game shows the one-word rule label in the history header', async ({ page }) => {
   await page.goto('/');
   await page.getByRole('button', { name: /guest/i }).click();
   // g3 is a finished Russian single-word game (vs Rick); open it from the lobby.
   await page.getByRole('button', { name: /Rick/ }).click();
   await expect(page.locator('[data-cell]').first()).toBeVisible();
   await expect(page.locator('.pane')).toHaveCount(1);
-  // The status bar carries the small "1️⃣" indicator (single-word, nothing pending).
-  await expect(page.locator('.oneword')).toBeVisible();
-  // Tapping the scoreboard opens the history, whose header shows the spelled-out rule label.
+  // The status bar no longer carries a "1️⃣" badge (dropped as noise); the rule surfaces in the
+  // history header instead. Tapping the scoreboard opens the history with the spelled-out label.
+  await expect(page.locator('.oneword')).toHaveCount(0);
   await page.locator('.scoreboard').click();
   await expect(page.locator('.oneword-label')).toBeVisible();
 });