fix(player): related marks survive, Restart restarts, and refused pages offer nothing to click

- Every state and Watch-later write goes through features/video/videoWrites,
  which marks the never-refetched lists (related lists, live searches) once
  the server has it; a contract test holds it. The Notification Center's
  undo, the feed's reset and the Watch-later toggles skipped it before.
- Confirmed marks are also kept apart (qk.videoMarks) and laid over the
  related rows: a Show more page landing later rebuilt them from the pages
  it read when it started, and dropped a mark made meanwhile.
- Restart on a related video starts at 0 (the session's stored position
  won before), and on the one already playing it seeks.
- The watched toggle remembers each video's mark: Back showed the opened
  video's launch-time state after a related one was marked.
- The help sheet leaves out the player's keys while a layer above it has
  them waiting.
- After a refusal a retry cannot answer, neither Show more (related) nor
  Load more (live search) is offered; a failed live-search page keeps the
  results already read and says why under them.
- The related cap message counts requests, as the cap does.

frontend/src/components/ui/KeyboardHelp.dom.test.tsx

@@ -9,6 +9,7 @@ import KeyboardHelp from "./KeyboardHelp";
 import { useContextMenu } from "./useContextMenu";
 import {
   closeKeyboardHelp,
+  setScopeCoveredProbe,
   useGlobalKeymap,
   useHelpConditions,
   useKeyScope,
@@ -179,6 +180,33 @@ describe("KeyboardHelp", () => {
     expect(descriptions()).not.toContain("keys.contextMenu");
   });
 
+  // The YouTube player's keys wait while a layer sits above it (its related drawer, a dialog): a
+  // sheet opened there leaves them out, and one opened over the player itself lists them.
+  it("leaves out a surface's keys while a layer above it has them waiting", () => {
+    let covered = true;
+    setScopeCoveredProbe("ytPlayer", () => covered);
+    try {
+      render(
+        <Host>
+          <Surface scope="ytPlayer" />
+        </Host>,
+      );
+      const id = pushLayer();
+      pressH();
+      removeLayer(id);
+      expect(descriptions()).not.toContain("keys.playPause");
+      expect(descriptions()).toContain("keys.help");
+      act(() => closeKeyboardHelp());
+      covered = false;
+      pressH();
+      expect(descriptions()).toContain("keys.playPause");
+    } catch (e) {
+      setScopeCoveredProbe("ytPlayer", null);
+      throw e;
+    }
+    setScopeCoveredProbe("ytPlayer", null);
+  });
+
   // Two live context menus (the Playlists page mounts one, its rail another) must not double the row.
   it("lists the context-menu chords once however many surfaces register", () => {
     function WithMenu() {