[Upgrade assistant] Hide delete button in ES table when index reindexing is in progress (#229260)

## Summary

Fixes a bug in the ES deprecations table. When index reindexing was in
progress, we were showing the delete button, but only the reindexing
button should be available.

#### Before
<img width="661" height="195" alt="Screenshot 2025-07-24 at 10 04 18"
src="https://github.com/user-attachments/assets/3046ebc2-21d1-48f1-a564-ded3000dd708"
/>


#### After
<img width="554" height="203" alt="Screenshot 2025-07-24 at 10 42 26"
src="https://github.com/user-attachments/assets/7545e3c2-4272-45d8-8848-f96317fc5265"
/>

Author: SoniaSanzV

x-pack/platform/plugins/private/upgrade_assistant/__jest__/client_integration/es_deprecations/deprecations_list.test.ts

@@ -813,6 +813,40 @@ describe('ES deprecations table', () => {
         expect(exists('deprecation-reindex-reindex')).toBe(false);
         expect(exists('deprecation-reindex-delete')).toBe(true);
       });
+      it('it only displays reindexing button if reindex in progress', async () => {
+        httpRequestsMockHelpers.setReindexStatusResponse(
+          esDeprecationsMockResponse.migrationsDeprecations[3].index!,
+          {
+            reindexOp: {
+              status: ReindexStatus.inProgress,
+              lastCompletedStep: ReindexStep.readonly,
+              reindexTaskPercComplete: null,
+            },
+            warnings: [],
+            hasRequiredPrivileges: true,
+            meta: {
+              indexName: 'foo',
+              reindexName: 'reindexed-foo',
+              aliases: [],
+              isFrozen: false,
+              isReadonly: false,
+              isInDataStream: false,
+              isFollowerIndex: false,
+            },
+          }
+        );
+
+        await act(async () => {
+          testBed = await setupElasticsearchPage(httpSetup);
+        });
+        testBed.component.update();
+        const { find, exists } = testBed;
+        expect(find('reindexTableCell-actions').length).toBe(1);
+
+        expect(exists('deprecation-reindex-readonly')).toBe(false);
+        expect(exists('deprecation-reindex-reindex')).toBe(true);
+        expect(exists('deprecation-reindex-delete')).toBe(false);
+      });
     });
   });
   describe('datastreams', () => {

x-pack/platform/plugins/private/upgrade_assistant/public/application/components/es_deprecations/deprecation_types/indices/actions_table_cell.tsx

@@ -158,6 +158,7 @@ const ReindexActionButtons: React.FunctionComponent<{
 
   const canDisplayDelete = !!(
     reindexState.hasRequiredPrivileges &&
+    !reindexingInProgressOrCompleted &&
     !isSettingReadOnly &&
     deprecation.level === 'critical'
   );