#34422 [Bug]: DELETE /openai/v1/responses/{id} returns 500 instead of 404 when response does not exist
### Check for existing issues
- [x] I have searched the existing issues and checked that my issue is not a duplicate.
### What happened?
Deleting a non-existent response via the LiteLLM proxy returns HTTP 500 instead of HTTP 404
Expected status code is 404, but actual status code is 500 with response: { "error": { "message": "litellm.APIConnectionError: azure - {\n \"error\": {\n \"message\": \"Response with id 'resp_...' not found.\",\n \"type\": \"invalid_request_error\",\n \"param\": null,\n \"code\": null\n }\n}.", "type": null, "param": null, "code": "500" } }
### Steps to Reproduce
Example request: curl -X 'DELETE' \ 'http://localhost:4000/openai/v1/responses/[nonexist response id]' \ -H 'accept: application/json' \ -H 'x-litellm-api-key: [litellm-admin-key]'
### Relevant log output
```shell { "error": { "message": "litellm.APIConnectionError: azure - {\n \"error\": {\n \"message\": \"Response with id 'resp_...' not found.\",\n \"type\": \"invalid_request_error\",\n \"param\": null,\n \"code\": null\n }\n}.", "type": null, "param": null, "code": "500" } } ```
### Wh…