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/infrastructure/repositories/media.repository.ts

@@ -0,0 +1,76 @@
+import "reflect-metadata";
+import { injectable } from "inversify";
+import { getPayload } from "payload";
+import type { SanitizedConfig } from "payload";
+
+import type { IMediaRepository } from "../../application/repositories/media.repository.interface";
+import type { Media } from "../../entities/models/media";
+
+type PayloadMediaDoc = {
+  id: string | number;
+  alt?: string | null;
+  url?: string | null;
+  filename?: string | null;
+  mimeType?: string | null;
+  filesize?: number | null;
+  width?: number | null;
+  height?: number | null;
+};
+
+function mapDoc(doc: PayloadMediaDoc): Media {
+  return {
+    id: String(doc.id),
+    alt: doc.alt ?? "",
+    url: doc.url ?? "",
+    filename: doc.filename ?? "",
+    mimeType: doc.mimeType ?? "",
+    filesize: doc.filesize ?? 0,
+    ...(doc.width != null && { width: doc.width }),
+    ...(doc.height != null && { height: doc.height }),
+  };
+}
+
+@injectable()
+export class MediaRepository implements IMediaRepository {
+  private config: SanitizedConfig;
+
+  constructor(config: SanitizedConfig) {
+    this.config = config;
+  }
+
+  async getMedia(id: string): Promise<Media | undefined> {
+    const payload = await getPayload({ config: this.config });
+    try {
+      const doc = await payload.findByID({
+        collection: "media",
+        id,
+        overrideAccess: true,
+      });
+      return mapDoc(doc as PayloadMediaDoc);
+    } catch {
+      return undefined;
+    }
+  }
+
+  async listMedia(opts?: { limit?: number; offset?: number }): Promise<Media[]> {
+    const payload = await getPayload({ config: this.config });
+    const result = await payload.find({
+      collection: "media",
+      limit: opts?.limit ?? 50,
+      page: opts?.offset
+        ? Math.floor(opts.offset / (opts.limit ?? 50)) + 1
+        : 1,
+      overrideAccess: true,
+    });
+    return result.docs.map((d) => mapDoc(d as PayloadMediaDoc));
+  }
+
+  async deleteMedia(id: string): Promise<void> {
+    const payload = await getPayload({ config: this.config });
+    await payload.delete({
+      collection: "media",
+      id,
+      overrideAccess: true,
+    });
+  }
+}