[Discover] Remove usage of deprecated React rendering utilities (#181623)

## Summary

Partially addresses https://github.com/elastic/kibana-team/issues/805

These changes come up from searching in the code and finding where
certain kinds of deprecated AppEx-SharedUX modules are imported.
**Reviewers: Please interact with critical paths through the UI
components touched in this PR, ESPECIALLY in terms of testing dark mode
and i18n.**

This focuses on code within **Discover**. Due to related type-safety
needs there are also some minor changes in the **Data** plugin.

<img width="1196" alt="image"
src="7f8d3707-94f0-4746-8dd5-dd858ce027f9">

Note: this also makes inclusion of `i18n` and `analytics` dependencies
consistent. Analytics is an optional dependency for the SharedUX
modules, which wrap `KibanaErrorBoundaryProvider` and is designed to
capture telemetry about errors that are caught in the error boundary.

### Checklist

Delete any items that are not applicable to this PR.

- [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
- [ ] This renders correctly on smaller devices using a responsive
layout. (You can test this [in your
browser](https://www.browserstack.com/guide/responsive-testing-on-local-server))
- [ ] This was checked for [cross-browser
compatibility](https://www.elastic.co/support/matrix#matrix_browsers)

---------

Co-authored-by: kibanamachine <42973632+kibanamachine@users.noreply.github.com>
Co-authored-by: Julia Rechkunova <julia.rechkunova@gmail.com>

examples/search_examples/kibana.jsonc

@@ -16,8 +16,6 @@
       "share",
       "unifiedSearch"
     ],
-    "requiredBundles": [
-      "kibanaReact"
-    ]
+    "requiredBundles": []
   }
 }

examples/search_examples/public/application.tsx

@@ -39,7 +39,7 @@ const LINKS: ExampleLink[] = [
 ];
 
 export const renderApp = (
-  { notifications, savedObjects, http, application }: CoreStart,
+  { notifications, savedObjects, http, application, ...startServices }: CoreStart,
   { data, navigation, unifiedSearch }: AppPluginStartDependencies,
   { element, history }: AppMountParameters
 ) => {
@@ -60,6 +60,7 @@ export const renderApp = (
                   data={data}
                   http={http}
                   unifiedSearch={unifiedSearch}
+                  {...startServices}
                 />
               </Route>
               <Route path={LINKS[1].path}>

examples/search_examples/public/search/app.tsx

@@ -36,7 +36,7 @@ import type { DataView, DataViewField } from '@kbn/data-views-plugin/public';
 import { i18n } from '@kbn/i18n';
 import { FormattedMessage } from '@kbn/i18n-react';
 import { RequestAdapter } from '@kbn/inspector-plugin/common';
-import { toMountPoint } from '@kbn/kibana-react-plugin/public';
+import { toMountPoint } from '@kbn/react-kibana-mount';
 import { NavigationPublicPluginStart } from '@kbn/navigation-plugin/public';
 import { UnifiedSearchPublicPluginStart } from '@kbn/unified-search-plugin/public';
 import React, { useEffect, useState } from 'react';
@@ -44,9 +44,8 @@ import { lastValueFrom } from 'rxjs';
 import { PLUGIN_ID, PLUGIN_NAME, SERVER_SEARCH_ROUTE_PATH } from '../../common';
 import { IMyStrategyResponse } from '../../common/types';
 
-interface SearchExamplesAppDeps {
-  notifications: CoreStart['notifications'];
-  http: CoreStart['http'];
+interface SearchExamplesAppDeps
+  extends Pick<CoreStart, 'notifications' | 'http' | 'analytics' | 'i18n' | 'theme'> {
   navigation: NavigationPublicPluginStart;
   data: DataPublicPluginStart;
   unifiedSearch: UnifiedSearchPublicPluginStart;
@@ -86,6 +85,7 @@ export const SearchExamplesApp = ({
   navigation,
   data,
   unifiedSearch,
+  ...startServices
 }: SearchExamplesAppDeps) => {
   const { IndexPatternSelect } = unifiedSearch.ui;
   const [getCool, setGetCool] = useState<boolean>(false);
@@ -234,7 +234,7 @@ export const SearchExamplesApp = ({
             notifications.toasts.addSuccess(
               {
                 title: 'Query result',
-                text: toMountPoint(message),
+                text: toMountPoint(message, startServices),
               },
               {
                 toastLifeTimeMs: 300000,
@@ -243,7 +243,7 @@ export const SearchExamplesApp = ({
             if (res.warning) {
               notifications.toasts.addWarning({
                 title: 'Warning',
-                text: toMountPoint(res.warning),
+                text: toMountPoint(res.warning, startServices),
               });
             }
           }
@@ -337,7 +337,7 @@ export const SearchExamplesApp = ({
       notifications.toasts.addSuccess(
         {
           title: 'Query result',
-          text: toMountPoint(message),
+          text: toMountPoint(message, startServices),
         },
         {
           toastLifeTimeMs: 300000,

examples/search_examples/tsconfig.json

@@ -20,7 +20,6 @@
     "@kbn/data-views-plugin",
     "@kbn/inspector-plugin",
     "@kbn/kibana-utils-plugin",
-    "@kbn/kibana-react-plugin",
     "@kbn/navigation-plugin",
     "@kbn/share-plugin",
     "@kbn/developer-examples-plugin",
@@ -34,5 +33,6 @@
     "@kbn/shared-ux-router",
     "@kbn/search-response-warnings",
     "@kbn/shared-ux-link-redirect-app",
+    "@kbn/react-kibana-mount",
   ]
 }