feat(media): full Clean Architecture scaffold

Media is now a complete vertical-feature package mirroring auth/blog
structure: entities (models + errors), application (repositories +
use-cases), infrastructure (real Payload-backed + mock siblings),
interface-adapters (per-use-case controllers), DI (symbols + module +
container + bind-production), integrations/api (mediaRouter), factory,
contract suite, and feature integration tests.

Wired into:
- packages/core-api/src/root.ts (added `media: mediaRouter`)
- apps/web-next/src/server/bind-production.ts (calls bindProductionMedia)
- tsconfig.base.json (added @repo/media/api and ./di/bind-production aliases)

56 new tests in @repo/media (13 test files); core-api router test updated
to assert media. procedures. All 26 turbo tasks green.

Refactor log: §2, §4.1, §4.2, §5.1, §6.1
Spec: §6.5

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/media/package.json

@@ -5,7 +5,9 @@
   "type": "module",
   "exports": {
     ".": "./src/index.ts",
-    "./cms": "./src/integrations/cms/index.ts"
+    "./cms": "./src/integrations/cms/index.ts",
+    "./api": "./src/integrations/api/index.ts",
+    "./di/bind-production": "./src/di/bind-production.ts"
   },
   "scripts": {
     "build": "tsc --noEmit",
@@ -14,12 +16,18 @@
     "typecheck": "tsc --noEmit"
   },
   "dependencies": {
-    "payload": "^3.14.0"
+    "@repo/core-shared": "workspace:*",
+    "@trpc/server": "^11.0.0",
+    "inversify": "^6.2.0",
+    "payload": "^3.14.0",
+    "reflect-metadata": "^0.2.2",
+    "zod": "^3.24.0"
   },
   "devDependencies": {
     "@repo/core-eslint": "workspace:*",
     "@repo/core-testing": "workspace:*",
     "@repo/core-typescript": "workspace:*",
+    "@types/node": "^22.0.0",
     "vitest": "^3.1.0"
   }
 }