[Search Home Page V1] Resolve the flaky FTR tests (#225328)

## Summary

Previously, we skipped some FTR tests related to redirection from the
Search home page for Admin and Developer roles. In this PR, we’ve
resolved the flakiness by moving the test file earlier in the test
loading sequence.


### Checklist

Check the PR satisfies following conditions. 

Reviewers should verify this PR satisfies this list as well.

- [ ] Any text added follows [EUI's writing
guidelines](https://elastic.github.io/eui/#/guidelines/writing), uses
sentence case text and includes [i18n
support](https://github.com/elastic/kibana/blob/main/src/platform/packages/shared/kbn-i18n/README.md)
- [ ]
[Documentation](https://www.elastic.co/guide/en/kibana/master/development-documentation.html)
was added for features that require explanation or tutorials
- [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
- [ ] If a plugin configuration key changed, check if it needs to be
allowlisted in the cloud and added to the [docker
list](https://github.com/elastic/kibana/blob/main/src/dev/build/tasks/os_packages/docker_generator/resources/base/bin/kibana-docker)
- [ ] This was checked for breaking HTTP API changes, and any breaking
changes have been approved by the breaking-change committee. The
`release_note:breaking` label should be applied in these situations.
- [x] [Flaky Test
Runner](https://ci-stats.kibana.dev/trigger_flaky_test_runner/1) was
used on any tests changed
- [x] The PR description includes the appropriate Release Notes section,
and the correct `release_note:*` label is applied per the
[guidelines](https://www.elastic.co/guide/en/kibana/master/contributing.html#kibana-release-notes-process)

### Identify risks

Does this PR introduce any risks? For example, consider risks like hard
to test bugs, performance regression, potential of data loss.

Describe the risk, its severity, and mitigation for each identified
risk. Invite stakeholders and evaluate how to proceed before merging.

- [ ] [See some risk
examples](https://github.com/elastic/kibana/blob/main/RISK_MATRIX.mdx)
- [ ] ...

x-pack/test_serverless/functional/test_suites/search/index.ts

@@ -13,6 +13,7 @@ export default function ({ loadTestFile }: FtrProviderContext) {
 
     loadTestFile(require.resolve('./navigation'));
     loadTestFile(require.resolve('./elasticsearch_start.ts'));
+    loadTestFile(require.resolve('./search_homepage'));
     loadTestFile(require.resolve('./search_index_detail.ts'));
     loadTestFile(require.resolve('./getting_started'));
     loadTestFile(require.resolve('./index_management'));
@@ -29,6 +30,5 @@ export default function ({ loadTestFile }: FtrProviderContext) {
     loadTestFile(require.resolve('./ml'));
     loadTestFile(require.resolve('./custom_role_access'));
     loadTestFile(require.resolve('./inference_management'));
-    loadTestFile(require.resolve('./search_homepage'));
   });
 }

x-pack/test_serverless/functional/test_suites/search/search_homepage.ts

@@ -29,7 +29,7 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
   const testSubjects = getService('testSubjects');
 
   describe('Search Homepage', function () {
-    describe.skip('as admin', function () {
+    describe('as admin', function () {
       before(async () => {
         await pageObjects.svlCommonPage.loginAsAdmin();
       });
@@ -39,6 +39,7 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
       });
 
       it('goes to the start page if there exists no index', async () => {
+        await pageObjects.common.navigateToApp('searchHomepage');
         await pageObjects.svlSearchHomePage.expectToBeOnStartpage();
       });
 
@@ -49,7 +50,7 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
       });
     });
 
-    describe.skip('as developer', function () {
+    describe('as developer', function () {
       before(async () => {
         await pageObjects.svlCommonPage.loginAsDeveloper();
       });
@@ -59,6 +60,7 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
       });
 
       it('goes to the start page if there exists no index', async () => {
+        await pageObjects.common.navigateToApp('searchHomepage');
         await pageObjects.svlSearchHomePage.expectToBeOnStartpage();
       });