db: drizzle schema matching spec 02, initial migrations, settings service

Migration 0000 enables citext; 0001 creates all 39 tables. DB tests use a
throwaway database per file (TEST_DATABASE_URL, derived from .env in dev,
a postgres service in CI). Decision 0002: pg driver and @fastify/cookie.

Task: M1-T1

apps/api/tsconfig.json

@@ -1,5 +1,5 @@
 {
   "extends": "../../tsconfig.base.json",
-  "compilerOptions": { "rootDir": "src", "outDir": "dist", "types": ["node"] },
-  "include": ["src"]
+  "compilerOptions": { "noEmit": true, "types": ["node"] },
+  "include": ["src", "test", "drizzle.config.ts"]
 }