fix(litellm): Implement busy vs down with proper degraded state

Three states:
- healthy: passed, exit 0 (unchanged)
- busy (completion timed out after retry AND host /health answered):
  ⚠️ DEGRADED line, does NOT fail the run, exit 0
- host unreachable or real fault: ❌, exit 1 (unchanged)

Summary now reports degraded count:
- All pass, no degraded: '✅ All checks passed'
- All pass, 1+ degraded: '✅ All checks passed (1 degraded: gpu-dense)'
- Some failed: '❌ Some checks failed' or '❌ Some checks failed (1 degraded: ...)'

Host health mapping verified:
- gpu-dense -> 192.168.68.8:8080/health
- gpu-vision -> 192.168.68.110:8080/health
- strix-moe -> 192.168.68.15:8080/health

scripts/litellm-health-check.py

@@ -288,6 +288,7 @@ def main():
     print("")
     
     all_pass = True
+    degraded = []  # Track degraded (busy) checks
     
     # Run all checks
     checks = [
@@ -307,9 +308,15 @@ def main():
     # Model probes
     model_results = check_model_probes()
     for name, passed, detail in model_results:
-        status = "✅" if passed else "❌"
+        # Check if this is a busy (degraded) verdict
+        if not passed and detail.startswith("busy "):
+            status = "⚠️"
+            degraded.append(name)
+        else:
+            status = "✅" if passed else "❌"
         print("  " + status + " " + name + ": " + detail)
-        if not passed:
+        # Only set all_pass=False for real failures (not busy)
+        if not passed and not detail.startswith("busy "):
             all_pass = False
     
     # Admin key list
@@ -335,10 +342,16 @@ def main():
     
     print("")
     if all_pass:
-        print("✅ All checks passed")
+        if degraded:
+            print("✅ All checks passed (" + str(len(degraded)) + " degraded: " + ", ".join(degraded) + ")")
+        else:
+            print("✅ All checks passed")
         return 0
     else:
-        print("❌ Some checks failed")
+        if degraded:
+            print("❌ Some checks failed (" + str(len(degraded)) + " degraded: " + ", ".join(degraded) + ")")
+        else:
+            print("❌ Some checks failed")
         return 1
 
 if __name__ == "__main__":