refactor: organize API around operation domains (#24)

* feat: reorganize API around operation domains

Restructure the oRPC contract from 14 resource-oriented routers to 8
domain-oriented routers for a cleaner public API surface.

- Consolidate 7 watch procedures into unified tracking.watch/unwatch
  with scope + ids input (movie, episode, season, series)
- Split dashboard across tracking (stats, history), library
  (continueWatching, upcoming), and discover (recommendations)
- Merge explore + search + discover into single discover router
- Absorb integrations into account.integrations
- Merge system.authConfig into system.publicInfo
- Collapse 6 admin setting endpoints into admin.settings.get/update
- Deduplicate platforms.list + explore.watchProviders into
  discover.platforms
- Add symmetric unwatchMovie/unwatchSeries core functions
- Rename titles.detail→get, titles.recommendations→similar,
  people.detail→get

BREAKING CHANGE: All client API paths have changed. REST paths now
mirror router structure.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* fix: address review feedback on API reorganization

- Fix updateRating invalidation in native app — was only invalidating
  title queries, now calls invalidateTitleQueries() to also refresh
  tracking.userInfo (drives the rating UI)
- Make unwatchMovie status revert consistent with unwatchSeries — revert
  any non-watchlist status, not just "completed"
- Add sync invariant comment on handleWatch/handleUnwatch loops
- Remove unused queryClient import in native use-title-actions

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* fix: updateStatus NOT_FOUND error + rate() invalidation in native

- updateStatus now throws NOT_FOUND when quickAddTitle returns null
  (title doesn't exist), instead of silently succeeding
- Add NOT_FOUND error to updateStatus contract definition
- Fix rate() in native title-actions.ts to call invalidateTitleQueries()
  instead of only invalidating orpc.titles.key() — mirrors the fix
  already applied to the hook-based path in d2ddc0f

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* docs: expand mobile app docs and add Play Store badge

- Add the Google Play badge to the README alongside the App Store badge
- Expand the mobile app docs with the Android/Play Store release details
- Refresh docs site dependencies and related package versions for the updated docs stack

---------

Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

apps/web/package.json

@@ -29,9 +29,9 @@
     "@sofa/i18n": "workspace:*",
     "@tabler/icons-react": "3.40.0",
     "@tanstack/react-form": "catalog:",
-    "@tanstack/react-hotkeys": "0.6.0",
+    "@tanstack/react-hotkeys": "0.8.1",
     "@tanstack/react-query": "catalog:",
-    "@tanstack/react-router": "1.168.3",
+    "@tanstack/react-router": "1.168.5",
     "@tanstack/zod-adapter": "1.166.9",
     "better-auth": "catalog:",
     "class-variance-authority": "0.7.1",
@@ -57,7 +57,7 @@
     "@tanstack/react-devtools": "0.10.0",
     "@tanstack/react-query-devtools": "5.95.2",
     "@tanstack/react-router-devtools": "1.166.11",
-    "@tanstack/router-plugin": "1.167.4",
+    "@tanstack/router-plugin": "1.167.6",
     "@types/bun": "catalog:",
     "@types/node": "catalog:",
     "@types/react": "catalog:",
@@ -68,7 +68,7 @@
     "babel-plugin-react-compiler": "1.0.0",
     "tailwindcss": "catalog:",
     "typescript": "catalog:",
-    "vite": "8.0.2",
+    "vite": "8.0.3",
     "vitest": "catalog:"
   }
 }