Display product variations in WooCommerce Hand-picked Products block

Question

I'm attempting to show the product variations of products while using the woocommerce Hand-picked Products block.

For the shop and archive pages this solution works fine.

How to add variation selection in Woo commerce to the Products Archive page?

However I'm struggling to get the variations to show using the woocommerce blocks.

/**
 * Display product variations in WooCommerce Hand-picked Products block.
 *
 * @param array $attributes Block attributes.
 * @param string $content Block content.
 * @return string
 */
function custom_display_product_variations_in_handpicked_block($attributes, $content) {
    // Check if the block is a Hand-picked Products block
    if ($attributes['name'] === 'woocommerce/handpicked-products') {

        // Get the list of hand-picked product IDs
        $product_ids = ! empty($attributes['products']) ? $attributes['products'] : array();

        if (! empty($product_ids)) {
            $content .= '<ul class="product-variations-list">';

            foreach ($product_ids as $product_id) {
                // Get product variations
                $variations = wc_get_product_variations($product_id);

                if ($variations) {
                    foreach ($variations as $variation) {
                        $variation_id = $variation->get_id();
                        $variation_name = wc_get_formatted_variation($variation->get_variation_attributes(), true);
                        $variation_price = $variation->get_price_html();

                        // Display variation details
                        $content .= '<li>';
                        $content .= '<a href="' . esc_url(get_permalink($variation_id)) . '">' . esc_html($variation_name) . '</a>';
                        $content .= '<span class="variation-price">' . $variation_price . '</span>';
                        $content .= '</li>';
                    }
                }
            }

            $content .= '</ul>';
        }
    }

    return $content;
}

add_filter('render_block', 'custom_display_product_variations_in_handpicked_block', 10, 2);