fix(confidence-engine): expose failed provider path

lib/analysis.js

@@ -81,6 +81,8 @@ export async function analyseScenario(scenario, opts = {}) {
     return buildErrorResponse(
       e.message || "Provider error during analysis",
       Date.now() - startTime,
+      "500",
+      e.providerApiPath,
     );
   }
 
@@ -154,7 +156,7 @@ function tryValidateAgainstSchema(data, schema) {
 
 // ── Result builders ──────────────────────────────────
 
-function buildErrorResponse(message, elapsed, statusCode = 500) {
+function buildErrorResponse(message, elapsed, statusCode = 500, providerApiPath) {
   return {
     success: false,
     error: message,
@@ -164,6 +166,7 @@ function buildErrorResponse(message, elapsed, statusCode = 500) {
     rawResponse: null,
     promptVersion: null,
     statusCode,
+    providerApiPath,
   };
 }