Fix `noop_update_total` is not being updated when using the `_bulk` (#105745)

Closes #105742

docs/changelog/105745.yaml

@@ -0,0 +1,6 @@
+pr: 105745
+summary: Fix `noop_update_total` is not being updated when using the `_bulk`
+area: CRUD
+type: bug
+issues:
+  - 105742

rest-api-spec/src/yamlRestTest/resources/rest-api-spec/test/bulk/12_noop.yml

@@ -0,0 +1,49 @@
+---
+"Noop":
+  - skip:
+      version: " - 8.13.99"
+      reason: fixed in 8.14.0
+  - do:
+      indices.create:
+        index: test_1
+        body:
+          settings:
+            number_of_shards: 1
+            number_of_replicas: 0
+  - do:
+      cluster.health:
+        wait_for_status: green
+  - do:
+      bulk:
+        refresh: true
+        body: |
+          { "create": { "_index": "test_1", "_id": "1"} }
+          { "foo": "bar" }
+          { "create": { "_index": "test_1", "_id": "2"} }
+          { "foo": "bar" }
+  - do:
+      indices.stats: { index: test_1 }
+
+  - match: { indices.test_1.total.indexing.index_total: 2 }
+  - match: { indices.test_1.primaries.indexing.index_total: 2 }
+  - match: { indices.test_1.total.indexing.noop_update_total: 0 }
+  - match: { indices.test_1.primaries.indexing.noop_update_total: 0 }
+
+  - do:
+      bulk:
+        body: |
+          { "update": { "_index": "test_1", "_id": "1"} }
+          { "doc": { "foo": "bar" } }
+          { "update": { "_index": "test_1", "_id": "2"} }
+          { "doc": { "foo": "bar" } }
+
+  - match: { items.0.update.result: noop }
+  - match: { items.1.update.result: noop }
+
+  - do:
+      indices.stats: { index: test_1 }
+
+  - match: { indices.test_1.total.indexing.index_total: 2 }
+  - match: { indices.test_1.primaries.indexing.index_total: 2 }
+  - match: { indices.test_1.total.indexing.noop_update_total: 2 } # total noop == primaries noop
+  - match: { indices.test_1.primaries.indexing.noop_update_total: 2 }

server/src/main/java/org/elasticsearch/action/bulk/TransportShardBulkAction.java

@@ -339,6 +339,7 @@ public class TransportShardBulkAction extends TransportWriteAction<BulkShardRequ
             if (updateResult.getResponseResult() == DocWriteResponse.Result.NOOP) {
                 context.markOperationAsNoOp(updateResult.action());
                 context.markAsCompleted(context.getExecutionResult());
+                context.getPrimary().noopUpdate();
                 return true;
             }
             context.setRequestToExecute(updateResult.action());