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>

apps/web-next/src/server/bind-production.ts

@@ -4,6 +4,7 @@ import { bindProductionBlog } from "@repo/blog/di/bind-production";
 import { bindProductionAuth } from "@repo/auth/di/bind-production";
 import { bindProductionMarketingPages } from "@repo/marketing-pages/di/bind-production";
 import { bindProductionNavigation } from "@repo/navigation/di/bind-production";
+import { bindProductionMedia } from "@repo/media/di/bind-production";
 
 let bound = false;
 
@@ -15,4 +16,5 @@ export async function bindAllProduction(): Promise<void> {
   bindProductionBlog(resolvedConfig);
   bindProductionMarketingPages(resolvedConfig);
   bindProductionNavigation(resolvedConfig);
+  bindProductionMedia(resolvedConfig);
 }