fix(api): auto-run migrations on container start and fix ESM warning

- Add docker-entrypoint.sh that runs prisma migrate deploy before
  starting the app, ensuring all tables exist on deployment
- Add "type": "module" to package.json to eliminate Node.js ESM
  reparsing warning for eslint.config.js

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

apps/api/package.json

@@ -2,6 +2,7 @@
   "name": "@mosaic/api",
   "version": "0.0.1",
   "private": true,
+  "type": "module",
   "scripts": {
     "build": "nest build",
     "dev": "nest start --watch",