[SharedUX] Remove usage of deprecated React rendering utilities (#180516)

## Summary

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

Follows https://github.com/elastic/kibana/pull/180003

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 AppEx-SharedUX. [Reporting changes are
separate](https://github.com/elastic/kibana/pull/).

<img width="1107" alt="image"
src="c0d2ce08-ac35-45a7-8192-0b2256fceb0e">

### 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)

examples/ui_action_examples/public/plugin.ts

@@ -29,14 +29,14 @@ export class UiActionExamplesPlugin
   ) {
     uiActions.registerTrigger(helloWorldTrigger);
 
-    const helloWorldAction = createHelloWorldActionDefinition(async () => ({
-      openModal: (await core.getStartServices())[0].overlays.openModal,
-    }));
+    const helloWorldAction = createHelloWorldActionDefinition(
+      async () => (await core.getStartServices())[0]
+    );
 
     uiActions.addTriggerAction(helloWorldTrigger.id, helloWorldAction);
   }
 
-  public start(core: CoreStart, plugins: UiActionExamplesStartDependencies) {}
+  public start(_core: CoreStart, _plugins: UiActionExamplesStartDependencies) {}
 
   public stop() {}
 }