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Assuming you are using the latest version of all the plugins and the themes (please update if not yet), it would seem like a conflict with one of the plugins or the theme you are using.
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The lines you’re encountering on your shop page are just a warning, not an error.
I’ve disabled WP_DEBUG_DISPLAY from your wp-config.php file and those are not appearing on the front end anymore.
// Disable display of errors and warnings
define( 'WP_DEBUG_DISPLAY', false );
@ini_set( 'display_errors', 0 );
Basically, the warning was appearing since your shop page is built on the Elementor, and even if it is being identified as a shop archive page, it doesn’t contain a post ID, which is why Rank Math was unable to go through with the intended procedure and was trying to set an image by calling the set_archive_image() function.
In short, the warning was basically occurring on your shop page and since the search result page contains your product from the shop page, the warning was being displayed there as well.
You can simply get rid of it by disabling WP_DEBUG_DISPLAY on your site, just as I did.
Hope that helps, and please do not hesitate to let us know if you need our assistance with anything else.