Updated Post Date (but with a customization)

Hi,
I have seen quite a few of topics on Showing Updated Posts up here but I wasn't sure how to apply it with custom codes that were already there by a previous developer. He's no longer with us so I am taking it into my own hands.

Specifically, this is a custom snipper I currently have right now for my blog category pages:

add_filter( 'generate_post_author_output', function($output) {
	if( is_archive() ){
		$output = sprintf( ' <span class="byline">%1$s</span>',
			sprintf( '<span class="author vcard" itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author">%4$s<a href="%1$s" title="%2$s" rel="author"><span class="author-name" itemprop="name">%3$s</span></a></span>',
				esc_url( get_author_posts_url( get_the_author_meta( 'ID' ) ) ),
				esc_attr( sprintf( __( 'View all posts by %s', 'generatepress' ), get_the_author() ) ),
				esc_html( get_the_author() ),
				get_avatar( get_the_author_meta( 'ID' ) )
			)
		);
	}
    return $output;
} );

add_filter( 'generate_header_entry_meta_items', function( $items ) {
	if( is_single() ){
		return array(
			//'categories',
			'date'
		);
	}
	return $items;
} );

add_filter( 'generate_footer_entry_meta_items', function( $items ) {
	if( is_archive() ){
		return array(
			'author',
			'comments-link'
		);
	}
	return $items;
} );

add_filter( 'generate_dynamic_element_text', function($post_date, $block){
	if( (is_archive() || (!is_front_page() && is_home())) && $block['attrs']['gpDynamicTextType'] === 'post-date' ){
		$post_date = sprintf(
			'<time class="entry-date published" datetime="%1$s"><span class="entry-date">%2$s</span><span class="entry-month">%3$s</span></time>',
			esc_attr( get_the_date( 'c', $id ) ),
			esc_html( get_the_date( 'd', $id ) ),
			esc_html( get_the_date( 'M', $id ) )
		);

		return $post_date;
	}
	return $post_date;
},15,2);

add_filter( 'generate_post_date_output', function($post_date){
	if( is_single() ){
		$post_date = sprintf(
			'<time class="entry-date published" datetime="%1$s"><span class="entry-date">%2$s</span><span class="entry-month">%3$s</span></time>',
			esc_attr( get_the_date( 'c', $id ) ),
			esc_html( get_the_date( 'd', $id ) ),
			esc_html( get_the_date( 'M', $id ) )
		);

		return $post_date;
	}
	return $post_date;
},15,2);

How would I change it so that the output is modified/updated date (only when there is an update date available)?
Thank you!