fix(offline): unify NewGame layout to natural-flow + PinPad verdict pause

- NewGame: all three forms (quick / friends / hotseat) now use the
  Profile sub-view's natural-flow .page (no forced height, no pinned-CTA
  .grow/.fg scroll), so the screen's single .content scroll + --vvh handle
  overflow and a focused name input scrolls into view cleanly — fixes the
  keyboard blank-space / deep-scroll regression. One layout rule, one place.
- PinPad: pause 250ms after the 4th digit before the verdict, so the fill
  (and the shake on a wrong PIN) reads as a deliberate response.
- e2e: typePin waits for empty dots before typing (robust to the pause).

ui/e2e/hotseat.spec.ts

@@ -27,7 +27,10 @@ async function goOffline(page: Page): Promise<void> {
 }
 
 // typePin clicks the on-screen keypad digits (the pad has no OK button — the 4th digit is the action).
+// It first waits for the dots to be empty, so a call made right after a previous entry does not lose
+// digits during the 250 ms verdict pause (the 4th digit → pause → clear/advance).
 async function typePin(page: Page, digits: string): Promise<void> {
+  await expect(page.locator('.pad .dot.on')).toHaveCount(0);
   for (const d of digits) await page.locator('.pad .key', { hasText: d }).click();
 }