[ES|QL] Only log requests to Inspector on request complete (#191232)

## Summary

Requires #191520.
Resolves #188266.

Prior to this PR, when polling on an async ES|QL request, we would log
the response to every polling request. This PR only logs when the
request is complete.

Before:


![image](https://github.com/user-attachments/assets/fe9a763d-ef43-4f46-a096-0e08e1805f47)

After:


![image](https://github.com/user-attachments/assets/5d59f016-8b0e-4a3f-b044-17b5de97739f)


### Checklist

- [x] [Unit or functional
tests](https://www.elastic.co/guide/en/kibana/master/development-tests.html)
were updated or added to match the most common scenarios
- [x] [Flaky Test
Runner](https://ci-stats.kibana.dev/trigger_flaky_test_runner/1) was
used on any tests changed
([build](https://buildkite.com/elastic/kibana-flaky-test-suite-runner/builds/6823))

src/plugins/data/common/search/expressions/esql.ts

@@ -23,7 +23,12 @@ import { buildEsQuery, type Filter } from '@kbn/es-query';
 import type { ESQLSearchParams, ESQLSearchResponse } from '@kbn/es-types';
 import { getEsQueryConfig } from '../../es_query';
 import { getTime } from '../../query';
-import { ESQL_ASYNC_SEARCH_STRATEGY, ESQL_TABLE_TYPE, KibanaContext } from '..';
+import {
+  ESQL_ASYNC_SEARCH_STRATEGY,
+  ESQL_TABLE_TYPE,
+  isRunningResponse,
+  type KibanaContext,
+} from '..';
 import { UiSettingsCommon } from '../..';
 
 declare global {
@@ -251,7 +256,9 @@ export const getEsqlFn = ({ getStartDependencies }: EsqlFnArguments) => {
               return throwError(() => error);
             }),
             tap({
-              next({ rawResponse, requestParams }) {
+              next(response) {
+                if (isRunningResponse(response)) return;
+                const { rawResponse, requestParams } = response;
                 logInspectorRequest()
                   .stats({
                     hits: {

src/plugins/inspector/public/views/requests/components/request_selector.tsx

@@ -114,6 +114,7 @@ export class RequestSelector extends Component<RequestSelectorProps> {
               }
             >
               <EuiBadge
+                data-test-subj="inspectorRequestTotalTime"
                 color={selectedRequest.status === RequestStatus.OK ? 'success' : 'danger'}
                 iconType={selectedRequest.status === RequestStatus.OK ? 'check' : 'cross'}
               >

test/functional/apps/discover/esql/_esql_view.ts

@@ -325,6 +325,31 @@ export default function ({ getService, getPageObjects }: FtrProviderContext) {
           expect(requestNames).to.contain('Visualization');
         });
       });
+
+      describe('with slow queries', () => {
+        it('should show only one entry in inspector for table/visualization', async function () {
+          await PageObjects.discover.selectTextBaseLang();
+          const testQuery = `from kibana_sample_data_flights | limit 10`;
+          await monacoEditor.setCodeEditorValue(testQuery);
+
+          await browser.execute(() => {
+            window.ELASTIC_ESQL_DELAY_SECONDS = 5;
+          });
+          await testSubjects.click('querySubmitButton');
+          await PageObjects.header.waitUntilLoadingHasFinished();
+          await browser.execute(() => {
+            window.ELASTIC_ESQL_DELAY_SECONDS = undefined;
+          });
+
+          await inspector.open();
+          const requestNames = (await inspector.getRequestNames()).split(',');
+          const requestTotalTime = await inspector.getRequestTotalTime();
+          expect(requestTotalTime).to.be.greaterThan(5000);
+          expect(requestNames.length).to.be(2);
+          expect(requestNames).to.contain('Table');
+          expect(requestNames).to.contain('Visualization');
+        });
+      });
     });
 
     describe('query history', () => {

test/functional/services/inspector.ts

@@ -328,4 +328,9 @@ export class InspectorService extends FtrService {
 
     return value === comboBoxOptions;
   }
+
+  public async getRequestTotalTime() {
+    const [ms] = (await this.testSubjects.getVisibleText('inspectorRequestTotalTime')).split('ms');
+    return parseFloat(ms);
+  }
 }