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/core-api/package.json

@@ -17,6 +17,7 @@
     "@repo/blog": "workspace:*",
     "@repo/core-shared": "workspace:*",
     "@repo/marketing-pages": "workspace:*",
+    "@repo/media": "workspace:*",
     "@repo/navigation": "workspace:*",
     "@trpc/server": "^11.0.0"
   },

packages/core-api/src/root.ts

@@ -3,12 +3,14 @@ import { authRouter } from "@repo/auth/api";
 import { blogRouter } from "@repo/blog/api";
 import { marketingPagesRouter } from "@repo/marketing-pages/api";
 import { navigationRouter } from "@repo/navigation/api";
+import { mediaRouter } from "@repo/media/api";
 
 export const appRouter = router({
   auth: authRouter,
   blog: blogRouter,
   marketingPages: marketingPagesRouter,
   navigation: navigationRouter,
+  media: mediaRouter,
 });
 
 export type AppRouter = typeof appRouter;

packages/core-api/src/router.test.ts

@@ -2,13 +2,14 @@ import { describe, it, expect } from "vitest";
 import { appRouter } from "./root";
 
 describe("appRouter composition", () => {
-  it("exposes auth, blog, marketingPages, navigation routers", () => {
+  it("exposes auth, blog, marketingPages, navigation, media routers", () => {
     const procedures = appRouter._def.procedures;
     const keys = Object.keys(procedures);
     expect(keys.some((k) => k.startsWith("auth."))).toBe(true);
     expect(keys.some((k) => k.startsWith("blog."))).toBe(true);
     expect(keys.some((k) => k.startsWith("marketingPages."))).toBe(true);
     expect(keys.some((k) => k.startsWith("navigation."))).toBe(true);
+    expect(keys.some((k) => k.startsWith("media."))).toBe(true);
   });
 
   it("blog router has expected procedures", () => {