Modify Default Genesis Site Description Function https://wpsites.net/web-design/change-genesis-site-description-tagline-conditionally/

header.php

add_action( 'genesis_site_description', 'genesis_seo_site_description' );
/**
 * Echo the site description into the header.
 *
 * Depending on the SEO option set by the user, this will either be wrapped in an `h1` or `p` element.
 *
 * Applies the `genesis_seo_description` filter before echoing.
 *
 * @since 1.1.0
 */
function genesis_seo_site_description() {

	// Set what goes inside the wrapping tags.
	$inside = esc_html( get_bloginfo( 'description' ) );

	// Determine which wrapping tags to use.
	$wrap = genesis_is_root_page() && 'description' === genesis_get_seo_option( 'home_h1_on' ) ? 'h1' : 'p';

	// Wrap homepage site description in p tags if static front page.
	$wrap = is_front_page() && ! is_home() ? 'p' : $wrap;

	// And finally, $wrap in h2 if HTML5 & semantic headings enabled.
	$wrap = genesis_html5() && genesis_get_seo_option( 'semantic_headings' ) ? 'h2' : $wrap;

	/**
	 * Site description wrapping element
	 *
	 * The wrapping element for the site description.
	 *
	 * @since 2.2.3
	 *
	 * @param string $wrap The wrapping element (h1, h2, p, etc.).
	 */
	$wrap = apply_filters( 'genesis_site_description_wrap', $wrap );

	// Build the description.
	$description = genesis_markup( array(
		'open'    => sprintf( "<{$wrap} %s>", genesis_attr( 'site-description' ) ),
		'close'   => "</{$wrap}>",
		'content' => $inside,
		'context' => 'site-description',
		'echo'    => false,
		'params'  => array(
			'wrap' => $wrap,
		),
	) );

	// Output (filtered).
	$output = $inside ? apply_filters( 'genesis_seo_description', $description, $inside, $wrap ) : '';

	echo $output;

}