Hi!
Thank you for your kind words and the details, it helps a lot!
If the preview is all right, then it is always a cache issue – if there is no cache plugin active, then most likely Cloudflare or a CDN that you might be using.
I switched the theme to test, but then I realized I don’t know which page has the search (as on the screenshot) and I didn’t want to change or break anyting on your site. Can you let me know the page URL where the plugin is active? Thank you!