feat(stats): add TMDB metadata for live-action dramas in the Library (#252)

changes/tmdb-linking-docs.md

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+type: docs
+area: stats
+
+- Documented provider reassignment, merge compatibility, and TMDB credential command caching and retry cooldown.

changes/tmdb-live-action-library.md

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+type: added
+area: stats
+
+- Live-action dramas and movies in the stats Library now get posters, synopses, and titles from TMDB. Release builds include a project key, so it works out of the box; `tmdb.apiKey` (or `tmdb.apiKeyCommand`) overrides it, and is required when running from source.
+- Unlinked titles that AniList cannot match are looked up on TMDB automatically when the parsed filename matches a Japanese live-action title exactly; otherwise use the new **Link to TMDB** action on a title to pick it by hand.
+- Entries linked to the same TMDB title are merged into one card even when they came from different season folders, and the Library kind selector gained a Live Action option alongside Anime and YouTube.
+- Provider reassignment preserves the previous link and artwork if the replacement download fails, and refreshes completion totals when the episode count changes. Merges and sync keep conflicting AniList and TMDB identities separate, and the merge dialog explains when a selection mixes the two instead of failing.
+- TMDB credential commands cache successful output and wait 30 seconds before retrying failed or empty output, using the bundled key in the meantime when available.