FiboSearch plugin has built-in integration with the Shopical theme. It means you can replace the default search bar by selecting a single checkbox.
If you have activated the Shopical theme or child theme of Shopical, you should see the following screen in the plugin settings:
WooCommerce -> FiboSearch -> Starting (tab)
Select the option “Replace all Shopical search bars with the FiboSearch.” and the search bar should be replaced.