feat: upgrade @ai-sdk/react to 2.0.107 and migrate to new API (#126)

- Upgrade @ai-sdk/react from 2.0.22 to 2.0.107
- Migrate from addToolResult to addToolOutput (new API)
- Add output-error state for proper error signaling to model
- Add sendAutomaticallyWhen for auto-retry on tool errors
- Add stop function ref for potential future use

Co-authored-by: dayuan.jiang <jiangdy@amazon.co.jp>

package.json

@@ -19,7 +19,7 @@
         "@ai-sdk/deepseek": "^1.0.30",
         "@ai-sdk/google": "^2.0.0",
         "@ai-sdk/openai": "^2.0.19",
-        "@ai-sdk/react": "^2.0.22",
+        "@ai-sdk/react": "^2.0.107",
         "@aws-sdk/credential-providers": "^3.943.0",
         "@langfuse/client": "^4.4.9",
         "@langfuse/otel": "^4.4.4",