[DiscoverSession] Change the display name on reporting page (#209250)

- Closes https://github.com/elastic/kibana/issues/209239

## Summary

This PR fixes the tooltip for Discover sessions on the reporting page.

<img width="693" alt="Screenshot 2025-02-03 at 11 55 53"
src="https://github.com/user-attachments/assets/cf1a952b-ff6c-4d7c-a523-d537ce51d484"
/>

---------

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

x-pack/platform/plugins/private/reporting/kibana.jsonc

@@ -40,4 +40,4 @@
       "kibanaReact"
     ]
   }
-}
+}

x-pack/platform/plugins/private/reporting/public/management/report_listing_table.tsx

@@ -26,7 +26,7 @@ import { ListingPropsInternal } from '.';
 import { prettyPrintJobType } from '../../common/job_utils';
 import { Poller } from '../../common/poller';
 import { ReportDeleteButton, ReportInfoFlyout, ReportStatusIndicator } from './components';
-import { guessAppIconTypeFromObjectType } from './utils';
+import { guessAppIconTypeFromObjectType, getDisplayNameFromObjectType } from './utils';
 
 type TableColumn = EuiBasicTableColumn<Job>;
 
@@ -235,7 +235,7 @@ export class ReportListingTable extends Component<ListingPropsInternal, State> {
                 type={guessAppIconTypeFromObjectType(job.objectType)}
                 size="s"
                 data-test-subj="reportJobType"
-                content={job.objectType}
+                content={getDisplayNameFromObjectType(job.objectType)}
               />
             </div>
           );

x-pack/platform/plugins/private/reporting/public/management/utils.ts

@@ -32,6 +32,15 @@ export const guessAppIconTypeFromObjectType = (type: string): IconType => {
   }
 };
 
+export const getDisplayNameFromObjectType = (type: string): string => {
+  switch (type) {
+    case 'search':
+      return 'discover session';
+    default:
+      return type;
+  }
+};
+
 export const jobHasIssues = (job: Job): boolean => {
   return (
     Boolean(job.getWarnings()) ||