ci: add tsc --noEmit TypeScript type checking to CI pipeline

Upgrade lucide-react to v1.7.0 for proper TypeScript declarations and
add a TypeScript type check step to the test workflow. Both ruff (Python)
and tsc --noEmit (TypeScript) now block merging on failure.

Closes leeworks-agents/SPARC#52

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

frontend/package.json

@@ -7,12 +7,13 @@
     "dev": "vite",
     "build": "tsc -b && vite build",
     "lint": "eslint .",
+    "typecheck": "tsc --noEmit",
     "preview": "vite preview"
   },
   "dependencies": {
     "@tanstack/react-query": "^5.51.0",
     "axios": "^1.7.2",
-    "lucide-react": "^0.400.0",
+    "lucide-react": "^1.7.0",
     "react": "^18.3.1",
     "react-dom": "^18.3.1",
     "react-router-dom": "^6.24.0",