Fix flaky core_app integration tests (#92030) (#92190)

* Unskip core_app integration tests

* Run the integration test 200 times

* Revert 200 execution loop

Co-authored-by: Kibana Machine <42973632+kibanamachine@users.noreply.github.com>

Co-authored-by: Alejandro Fernández Haro <alejandro.haro@elastic.co>

src/core/server/core_app/integration_tests/default_route_provider_config.test.ts

@@ -9,16 +9,14 @@
 import * as kbnTestServer from '../../../test_helpers/kbn_server';
 import { Root } from '../../root';
 
-const { startES } = kbnTestServer.createTestServers({
-  adjustTimeout: (t: number) => jest.setTimeout(t),
-});
-let esServer: kbnTestServer.TestElasticsearchUtils;
-
-// FLAKY: https://github.com/elastic/kibana/issues/81072
-describe.skip('default route provider', () => {
+describe('default route provider', () => {
+  let esServer: kbnTestServer.TestElasticsearchUtils;
   let root: Root;
 
   beforeAll(async () => {
+    const { startES } = kbnTestServer.createTestServers({
+      adjustTimeout: (t: number) => jest.setTimeout(t),
+    });
     esServer = await startES();
     root = kbnTestServer.createRootWithCorePlugins({
       server: {