### Check for existing issues

- [x] I have searched the existing issues and checked that my issue is not a duplicate.

### The Feature

Currently `litellm` metrics in datadog can be broken down by LiteLLM Team:

<img width="943" height="285" alt="Image" src="https://github.com/user-attachments/assets/a2986a3e-3fbd-421b-897a-406e28362394" />

It would be great to be able to have observability on the Virtual Key level too.

### Motivation, pitch

So we have observe traffic, latency etc on Virtual Key level which is finer grained that the Team. Can be important to track this as it could represent sub-team or microservices, for example, within a company/organisation.

### What part of LiteLLM is this about?

_No response_

### LiteLLM is hiring a founding backend engineer, are you interested in joining us and shipping to all our users?

No

### Twitter / LinkedIn details

_No response_