feat: add Express API base structure

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

apps/api/package.json

@@ -0,0 +1,36 @@
+{
+  "name": "@horux/api",
+  "version": "0.0.1",
+  "private": true,
+  "scripts": {
+    "dev": "tsx watch src/index.ts",
+    "build": "tsc",
+    "start": "node dist/index.js",
+    "lint": "eslint src/",
+    "typecheck": "tsc --noEmit",
+    "db:generate": "prisma generate",
+    "db:push": "prisma db push",
+    "db:migrate": "prisma migrate dev",
+    "db:seed": "tsx prisma/seed.ts"
+  },
+  "dependencies": {
+    "@horux/shared": "workspace:*",
+    "@prisma/client": "^5.22.0",
+    "bcryptjs": "^2.4.3",
+    "cors": "^2.8.5",
+    "express": "^4.21.0",
+    "helmet": "^8.0.0",
+    "jsonwebtoken": "^9.0.2",
+    "zod": "^3.23.0"
+  },
+  "devDependencies": {
+    "@types/bcryptjs": "^2.4.6",
+    "@types/cors": "^2.8.17",
+    "@types/express": "^5.0.0",
+    "@types/jsonwebtoken": "^9.0.7",
+    "@types/node": "^22.0.0",
+    "prisma": "^5.22.0",
+    "tsx": "^4.19.0",
+    "typescript": "^5.3.0"
+  }
+}