#30504 [Bug]: Adding Complexity router from "Add auto router" UI fails
### Check for existing issues
- [x] I have searched the existing issues and checked that my issue is not a duplicate.
### What happened?
I tried configuring complexity router as shown below
<img width="1746" height="1573" alt="Image" src="https://github.com/user-attachments/assets/7da3859a-0b6c-4c28-964f-bbe00b012cb8" />
On clicking "Test connection" it just fails as shown below
<img width="1701" height="1623" alt="Image" src="https://github.com/user-attachments/assets/a4d5a52b-cc86-4086-bfde-8bb27732f9d6" />
<img width="1016" height="955" alt="Image" src="https://github.com/user-attachments/assets/b7263bce-8d50-4ccd-ab7a-2132659339cf" />
### Steps to Reproduce
Listed above
### Relevant log output
```shell
```
### What part of LiteLLM is this about?
UI Dashboard
### What LiteLLM version are you on ?
v1.83.10
### Twitter / LinkedIn details
_No response_