feat: how to monitor cortex inbound requests?

[louis-menlo]

Problem
I'm testing my copilot alternative setup, but I could not debug the outbound requests there. It would be great if I can debug inbound requests from cortex cli. For now, it just outputs the request path, no request body is logged.

Success Criteria
E.g.

1723389668 - Request /chat/completions
 { 
   "messages": [ 
      "role": "user", 
      "content": "hello" 
   ], 
   "stream": true, 
   "model": "llama3.1" 
}

Additional context
Add any other context or screenshots about the feature request here.

[dan-menlo]

Merged into #1153