Scaffold homelab-monitor: Fastify API + React dashboard + CI

Vertical slice for Phase 1 (v1-dashboard milestone): Proxmox collector,
SQLite storage, local auth, and a dashboard UI showing host/container
status cards. Config-driven collector registry so future data sources
(SSH-based hosts, Zabbix, network discovery) plug in without rewiring.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

apps/api/package.json

@@ -0,0 +1,30 @@
+{
+  "name": "@homelab-monitor/api",
+  "version": "0.1.0",
+  "private": true,
+  "type": "module",
+  "scripts": {
+    "dev": "tsx watch src/index.ts",
+    "build": "tsc -p tsconfig.json",
+    "start": "node dist/index.js",
+    "typecheck": "tsc --noEmit"
+  },
+  "dependencies": {
+    "@fastify/cookie": "^11.0.2",
+    "@fastify/session": "^11.1.0",
+    "@fastify/static": "^8.1.1",
+    "bcryptjs": "^2.4.3",
+    "better-sqlite3": "^11.9.1",
+    "dotenv": "^16.4.7",
+    "fastify": "^5.2.1",
+    "undici": "^7.3.0",
+    "yaml": "^2.7.0"
+  },
+  "devDependencies": {
+    "@types/bcryptjs": "^2.4.6",
+    "@types/better-sqlite3": "^7.6.12",
+    "@types/node": "^22.13.5",
+    "tsx": "^4.19.3",
+    "typescript": "^5.7.3"
+  }
+}