fix(playback): show the Up next card near the real end of an episode

The card appeared a fixed 8 minutes before the end: most of a short
episode, and far into the story of a long one, with no way to hide it.

- Adaptive lead: 4% of the episode, clamped to 40 s … 3 min.
- A closing-credits chapter in the last third, when timeline segments
  carry one, brings the card forward to its start (capped at 5 min).
- Close button and Escape dismiss the card for the current next episode.
- After 10 s (not while hovered) the card collapses into a one-line pill.
- Seconds countdown in the last minute.
- New playback setting "Up next card" (default on) turns it off.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/web-e2e/src/xtream-series-playback.e2e.ts

@@ -143,8 +143,8 @@ test.describe('@xtream inline series fullscreen', () => {
             )
             .toBeGreaterThanOrEqual(1);
 
-        // The 30 s fixture clip is inside the card's threshold from its
-        // first frame, so the card is up as soon as the duration is known.
+        // The 30 s fixture clip is shorter than the card's 40 s minimum
+        // lead, so the card is up as soon as the duration is known.
         const card = playerView.locator(
             '[data-test-id="player-controls-up-next"]'
         );
@@ -169,6 +169,21 @@ test.describe('@xtream inline series fullscreen', () => {
         await expect(card).toHaveAttribute('aria-label', /S01E03/, {
             timeout: 15_000,
         });
+
+        // The corner button hides the card for this episode; bringing the
+        // controls back does not bring it back. The card hides with idle
+        // controls, so wake them first.
+        await playerView.hover();
+        await expect(card).toBeVisible();
+        await playerView
+            .locator('[data-test-id="player-controls-up-next-close"]')
+            .click();
+        await expect(card).toHaveCount(0);
+        await playerView.hover({ position: { x: 40, y: 40 } });
+        await expect(
+            playerView.locator('[data-test-id="player-controls-next-episode"]')
+        ).toBeVisible();
+        await expect(card).toHaveCount(0);
     });
 
     test('switches episodes from the fullscreen episode panel without leaving fullscreen', async ({