Revert "Fix nested project client calls"

This reverts commit a8e5057.

Author: nielsbauman

x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/template/IndexTemplateRegistry.java

@@ -851,8 +851,7 @@ public void onFailure(Exception e) {
                     getOrigin(),
                     request,
                     groupedActionListener,
-                    // We don't use the project client as the project ID is already set by the caller of this method.
-                    (req, listener) -> client.execute(RolloverAction.INSTANCE, req, listener)
+                    (req, listener) -> projectResolver.projectClient(client, project.id()).execute(RolloverAction.INSTANCE, req, listener)
                 );
             }
         });