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/src/integrations/api/index.ts

@@ -0,0 +1,2 @@
+export { mediaRouter } from "./router";
+export type { MediaRouter } from "./router";

packages/media/src/integrations/api/router.ts

@@ -0,0 +1,45 @@
+import { z } from "zod";
+import { router, publicProcedure } from "@repo/core-shared/trpc/init";
+import { mediaContainer } from "../../di/container";
+import { MEDIA_SYMBOLS } from "../../di/symbols";
+import type { IGetMediaController } from "../../interface-adapters/controllers/get-media.controller";
+import type { IListMediaController } from "../../interface-adapters/controllers/list-media.controller";
+import type { IDeleteMediaController } from "../../interface-adapters/controllers/delete-media.controller";
+
+export const mediaRouter = router({
+  getMedia: publicProcedure
+    .input(z.object({ id: z.string().min(1) }))
+    .query(({ input }) => {
+      const ctrl = mediaContainer.get<IGetMediaController>(
+        MEDIA_SYMBOLS.IGetMediaController,
+      );
+      return ctrl(input);
+    }),
+
+  listMedia: publicProcedure
+    .input(
+      z
+        .object({
+          limit: z.number().optional(),
+          offset: z.number().optional(),
+        })
+        .optional(),
+    )
+    .query(({ input }) => {
+      const ctrl = mediaContainer.get<IListMediaController>(
+        MEDIA_SYMBOLS.IListMediaController,
+      );
+      return ctrl(input ?? {});
+    }),
+
+  deleteMedia: publicProcedure
+    .input(z.object({ id: z.string().min(1) }))
+    .mutation(({ input }) => {
+      const ctrl = mediaContainer.get<IDeleteMediaController>(
+        MEDIA_SYMBOLS.IDeleteMediaController,
+      );
+      return ctrl(input);
+    }),
+});
+
+export type MediaRouter = typeof mediaRouter;