Continue to work through 429/500s.

- The root of this issue was actually a genai SDK bug that was fixed here: https://critique.corp.google.com/cl/753255997
- Upgrade to latest genai SDK for latest bug fixes (including the above)
- Removed specific 429 handling for uncaught rejections.

Fixes https://b.corp.google.com/issues/413760164

packages/server/package.json

@@ -19,7 +19,7 @@
     "dist"
   ],
   "dependencies": {
-    "@google/genai": "^0.10.0",
+    "@google/genai": "^0.13.0",
     "@modelcontextprotocol/sdk": "^1.11.0",
     "diff": "^7.0.0",
     "dotenv": "^16.4.7",