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-lock.json

@@ -10,7 +10,7 @@
       "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",
@@ -3452,9 +3452,9 @@
       }
     },
     "node_modules/lucide-react": {
-      "version": "0.400.0",
-      "resolved": "https://registry.npmjs.org/lucide-react/-/lucide-react-0.400.0.tgz",
-      "integrity": "sha512-rpp7pFHh3Xd93KHixNgB0SqThMHpYNzsGUu69UaQbSZ75Q/J3m5t6EhKyMT3m4w2WOxmJ2mY0tD3vebnXqQryQ==",
+      "version": "1.7.0",
+      "resolved": "https://registry.npmjs.org/lucide-react/-/lucide-react-1.7.0.tgz",
+      "integrity": "sha512-yI7BeItCLZJTXikmK4KNUGCKoGzSvbKlfCvw44bU4fXAL6v3gYS4uHD1jzsLkfwODYwI6Drw5Tu9Z5ulDe0TSg==",
       "license": "ISC",
       "peerDependencies": {
         "react": "^16.5.1 || ^17.0.0 || ^18.0.0 || ^19.0.0"