Implements all 11 checks from litellm-health contract:
- Liveliness, Containers, Prometheus, Grafana health probes
- Model probes for gpu-dense, gpu-vision, strix-moe, syslog-auto
- Admin API key list (10 keys), GitHub status, Docker Stats metrics
Fixed quoting for SSH commands and response parsing (dict with 'keys' field).
Backend edge uses internal IP 192.168.68.116, not public URL.
Docker Stats fetched from CT 116 host itself (127.0.0.1:9324/metrics).
All 11 checks passing consistently.