[8.x] [Discover] Unskip functional discover request counts test and skip ES|QL part (#205690) (#205993)

# Backport

This will backport the following commits from `main` to `8.x`:
- [[Discover] Unskip functional discover request counts test and skip
ES|QL part (#205690)](#205690)

<!--- Backport version: 9.4.3 -->

### Questions ?
Please refer to the [Backport tool
documentation](https://github.com/sqren/backport)

<!--BACKPORT [{"author":{"name":"Matthias
Wilhelm","email":"[email protected]"},"sourceCommit":{"committedDate":"2025-01-09T05:35:40Z","message":"[Discover]
Unskip functional discover request counts test and skip ES|QL part
(#205690)\n\nUnskipping the main test, and unskipping the `ES|QL` part
due to
flakiness","sha":"cbcb24e036dd598cc4109fdb83ebdb5bcaba2d4c","branchLabelMapping":{"^v9.0.0$":"main","^v8.18.0$":"8.x","^v(\\d+).(\\d+).\\d+$":"$1.$2"}},"sourcePullRequest":{"labels":["release_note:skip","v9.0.0","Team:DataDiscovery","backport:prev-minor"],"title":"[Discover]
Unskip functional discover request counts test and skip ES|QL
part","number":205690,"url":"https://github.com/elastic/kibana/pull/205690","mergeCommit":{"message":"[Discover]
Unskip functional discover request counts test and skip ES|QL part
(#205690)\n\nUnskipping the main test, and unskipping the `ES|QL` part
due to
flakiness","sha":"cbcb24e036dd598cc4109fdb83ebdb5bcaba2d4c"}},"sourceBranch":"main","suggestedTargetBranches":[],"targetPullRequestStates":[{"branch":"main","label":"v9.0.0","branchLabelMappingKey":"^v9.0.0$","isSourceBranch":true,"state":"MERGED","url":"https://github.com/elastic/kibana/pull/205690","number":205690,"mergeCommit":{"message":"[Discover]
Unskip functional discover request counts test and skip ES|QL part
(#205690)\n\nUnskipping the main test, and unskipping the `ES|QL` part
due to flakiness","sha":"cbcb24e036dd598cc4109fdb83ebdb5bcaba2d4c"}}]}]
BACKPORT-->

Co-authored-by: Matthias Wilhelm <[email protected]>

Author: kibanamachine

test/functional/apps/discover/group3/_request_counts.ts

@@ -28,8 +28,7 @@ export default function ({ getService, getPageObjects }: FtrProviderContext) {
   const log = getService('log');
   const retry = getService('retry');
 
-  // Failing: See https://github.com/elastic/kibana/issues/205344
-  describe.skip('discover request counts', function describeIndexTests() {
+  describe('discover request counts', function describeIndexTests() {
     before(async function () {
       await esArchiver.loadIfNeeded('test/functional/fixtures/es_archiver/logstash_functional');
       await esArchiver.loadIfNeeded('test/functional/fixtures/es_archiver/long_window_logstash');
@@ -54,30 +53,34 @@ export default function ({ getService, getPageObjects }: FtrProviderContext) {
     });
 
     const expectSearchCount = async (type: 'ese' | 'esql', searchCount: number) => {
-      await retry.try(async () => {
-        if (searchCount === 0) {
-          await browser.execute(async () => {
-            performance.clearResourceTimings();
-          });
-        }
-        await waitForLoadingToFinish();
-        const endpoint = type === 'esql' ? `${type}_async` : type;
-        const requests = await browser.execute(() =>
-          performance
-            .getEntries()
-            .filter((entry: any) => ['fetch', 'xmlhttprequest'].includes(entry.initiatorType))
-        );
+      await retry.tryWithRetries(
+        `expect ${type} request to match count ${searchCount}`,
+        async () => {
+          if (searchCount === 0) {
+            await browser.execute(async () => {
+              performance.clearResourceTimings();
+            });
+          }
+          await waitForLoadingToFinish();
+          const endpoint = type === 'esql' ? `${type}_async` : type;
+          const requests = await browser.execute(() =>
+            performance
+              .getEntries()
+              .filter((entry: any) => ['fetch', 'xmlhttprequest'].includes(entry.initiatorType))
+          );
 
-        const result = requests.filter((entry) =>
-          entry.name.endsWith(`/internal/search/${endpoint}`)
-        );
+          const result = requests.filter((entry) =>
+            entry.name.endsWith(`/internal/search/${endpoint}`)
+          );
 
-        const count = result.length;
-        if (count !== searchCount) {
-          log.warning('Request count differs:', result);
-        }
-        expect(count).to.be(searchCount);
-      });
+          const count = result.length;
+          if (count !== searchCount) {
+            log.warning('Request count differs:', result);
+          }
+          expect(count).to.be(searchCount);
+        },
+        { retryCount: 5, retryDelay: 500 }
+      );
     };
 
     const waitForLoadingToFinish = async () => {
@@ -257,8 +260,10 @@ export default function ({ getService, getPageObjects }: FtrProviderContext) {
         });
       });
     });
-
-    describe('ES|QL mode', () => {
+    // Currently ES|QL checks are disabled due to various flakiness
+    // Note that ES|QL also checks for different number of requests due to the fields request triggered
+    // by the ES|QL Editor
+    describe.skip('ES|QL mode', () => {
       const type = 'esql';
       before(async () => {
         await common.navigateToApp('discover');