Update .openpublishing.publish.config.json

Removing dependency on https://github.com/Azure/Azure-Proactive-Resiliency-Library

Author: tynevi

.openpublishing.publish.config.json

@@ -242,12 +242,6 @@
             "branch": "main",
             "branch_mapping": {}
         },
-        {
-            "path_to_root": "azure-proactive-resiliency-library",
-            "url": "https://github.com/Azure/Azure-Proactive-Resiliency-Library",
-            "branch": "main",
-            "branch_mapping": {}
-        },
         {
             "path_to_root": "azure-sdk-for-go-samples",
             "url": "https://github.com/Azure-Samples/azure-sdk-for-go-samples",