feat(stats): add live-action library support and harden stats runtime

- Add TMDB metadata, linking, filtering, and live-action library merging
- Harden stats request validation, lifecycle handling, and compiled runtime coverage
- Fix Anki media synchronization and configuration validation

src/core/services/session-actions.ts

@@ -3,7 +3,7 @@ import type { SessionActionId } from '../../types/session-bindings';
 import type { SessionActionDispatchRequest } from '../../types/runtime';
 
 export interface SessionActionExecutorDeps {
-  toggleStatsOverlay: () => void;
+  toggleStatsOverlay: () => Promise<void> | void;
   toggleVisibleOverlay: () => void;
   copyCurrentSubtitle: () => void;
   copySubtitleCount: (count: number) => void;
@@ -51,7 +51,7 @@ export async function dispatchSessionAction(
 ): Promise<void> {
   switch (request.actionId) {
     case 'toggleStatsOverlay':
-      deps.toggleStatsOverlay();
+      await deps.toggleStatsOverlay();
       return;
     case 'toggleVisibleOverlay':
       deps.toggleVisibleOverlay();