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

package-lock.json

@@ -797,9 +797,9 @@
       "link": true
     },
     "node_modules/@google/genai": {
-      "version": "0.10.0",
-      "resolved": "https://registry.npmjs.org/@google/genai/-/genai-0.10.0.tgz",
-      "integrity": "sha512-LAbp0em5A+wRtQR2+r5ckRBg2U2cBy8cJHgyTHa9PUbK8zucApw6A93HWyom/qlUQBNCpnIHFp20RiJuYMQwAw==",
+      "version": "0.13.0",
+      "resolved": "https://registry.npmjs.org/@google/genai/-/genai-0.13.0.tgz",
+      "integrity": "sha512-eaEncWt875H7046T04mOpxpHJUM+jLIljEf+5QctRyOeChylE/nhpwm1bZWTRWoOu/t46R9r+PmgsJFhTpE7tQ==",
       "license": "Apache-2.0",
       "dependencies": {
         "google-auth-library": "^9.14.2",
@@ -8167,7 +8167,7 @@
       "name": "@gemini-code/server",
       "version": "0.1.0",
       "dependencies": {
-        "@google/genai": "^0.10.0",
+        "@google/genai": "^0.13.0",
         "@modelcontextprotocol/sdk": "^1.11.0",
         "diff": "^7.0.0",
         "dotenv": "^16.4.7",