Removing Out of Stock items in Live Search

functions.php

function woocommerce_products_live_search(){
	if ( isset( $_REQUEST['fn'] ) && 'get_ajax_search' == $_REQUEST['fn'] ) {

		$query_args = array(
			'posts_per_page' 	=> 10,
            'no_found_rows' 	=> true,
            'post_type'			=> 'product',
		);

		if( isset( $_REQUEST['terms'] ) ) {
			$query_args['s'] = $_REQUEST['terms'];
		}

        $search_query = new WP_Query( $query_args );
 
        $results = array( );
        if ( $search_query->get_posts() ) {
            foreach ( $search_query->get_posts() as $the_post ) {
                $title = get_the_title( $the_post->ID );
                if ( has_post_thumbnail( $the_post->ID ) ) {
					$post_thumbnail_ID = get_post_thumbnail_id( $the_post->ID );
					$post_thumbnail_src = wp_get_attachment_image_src( $post_thumbnail_ID, 'thumbnail' );
				}else{
					$dimensions = wc_get_image_size( 'thumbnail' );
					$post_thumbnail_src = array(
						wc_placeholder_img_src(),
						esc_attr( $dimensions['width'] ),
						esc_attr( $dimensions['height'] )
					);
				}

				$product = new WC_Product( $the_post->ID );
				$price = $product->get_price_html();
				$brand = woocommerce_show_brand( $the_post->ID, true );
				$title = html_entity_decode( $title , ENT_QUOTES, 'UTF-8' );
				if( $product->is_in_stock() ) {
                
                    $results[] = array(
                        'value' 	=> $title,
                        'url' 		=> get_permalink( $the_post->ID ),
                        'tokens' 	=> explode( ' ', $title ),
                        'image' 	=> $post_thumbnail_src[0],
                        'price'		=> $price,
                        'brand'		=> $brand,
                        'id'		=> $the_post->ID
                    );
                }
            }
        }
 
        wp_reset_postdata();
        echo json_encode( $results );
    }
    die();
}