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