All the content we write in the Breakdance editor is stored in the custom field breakdance_data.
Which means that it can't be found in the search results page because the WordPress search engine doesn't search in custom fields.
Note that if you use Gutenberg for your content, it's all good, it will be included in the search. But all the texts that you add inside Breakdance won't be found.
WP Extended Search to the rescue
Install WP Extended Search plugin and go to the Settings page.
Add breakdance_data in the Meta Key Names field:
That's it. Now everything we wrote inside Breakdance will be included in the search results.