[Dashboard] Await new services in exported listing table (#195277)

Closes #194733

## Summary

In #193644, I forgot to remove
references to the old `servicesReady` promise - this caused an issue
where it never resolved `true`, so anywhere that depended on this would
be stuck in a loading state. This PR fixes this by replacing all
instances of `servicesReady` with the new
`untilPluginStartServicesReady` promise.

Specifically, this fixes the exported `DashboardListingTable` that the
Security page uses:

- **Before:**


https://github.com/user-attachments/assets/78fc8ad8-7bff-43bf-95ec-d52f4da91371

- **After:**



https://github.com/user-attachments/assets/af1be9d3-9af5-4a30-9b5d-bc4352214a97


### For maintainers

- [ ] This was checked for breaking API changes and was [labeled
appropriately](https://www.elastic.co/guide/en/kibana/master/contributing.html#kibana-release-notes-process)

src/plugins/dashboard/public/dashboard_listing/index.tsx

@@ -7,10 +7,10 @@
  * License v3.0 only", or the "Server Side Public License, v 1".
  */
 
-import React, { Suspense } from 'react';
 import { EuiEmptyPrompt, EuiLoadingSpinner } from '@elastic/eui';
+import React, { Suspense } from 'react';
 
-import { servicesReady } from '../plugin';
+import { untilPluginStartServicesReady } from '../services/kibana_services';
 import { DashboardListingProps } from './types';
 
 const ListingTableLoadingIndicator = () => {
@@ -20,7 +20,7 @@ const ListingTableLoadingIndicator = () => {
 const LazyDashboardListing = React.lazy(() =>
   (async () => {
     const modulePromise = import('./dashboard_listing_table');
-    const [module] = await Promise.all([modulePromise, servicesReady]);
+    const [module] = await Promise.all([modulePromise, untilPluginStartServicesReady()]);
 
     return {
       default: module.DashboardListingTable,

src/plugins/dashboard/public/plugin.tsx

@@ -138,7 +138,6 @@ export interface DashboardStart {
 }
 
 export let resolveServicesReady: () => void;
-export const servicesReady = new Promise<void>((resolve) => (resolveServicesReady = resolve));
 
 export class DashboardPlugin
   implements