Run the whole stack in Docker

- API and web images built with turbo prune; the API image also runs the
  worker and migrations. Non-root, health-checked, Debian slim.
- docker compose up -d --build starts Postgres, Redis (persistent), a
  one-shot migrate job, API, worker and web, in dependency order.
- Fix the API production build (tsup flags moved to a config file) and
  bundle the migration script; silence Postgres NOTICE noise.
- npm run infra:up now starts only Postgres and Redis for hot-reload dev.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MzFywujuH9TiuXbr9vjoX8

apps/api/tsconfig.json

@@ -9,6 +9,7 @@
     "src",
     "test",
     "drizzle.config.ts",
-    "vitest.config.ts"
+    "vitest.config.ts",
+    "tsup.config.ts"
   ]
 }