Reflect default price and strikethrough in mini cart item price in WooCommerce - wordpress

Question

Hello this code creates two discount classes, and then with a filter on the cart page it shows the regular price and the discounted price, how can I do to have the same visual result also on the mini cart??
this is what i am trying to achieve in the minicart
add_action( 'woocommerce_before_calculate_totals', 'bbloomer_quantity_based_pricing', 9999 );
function bbloomer_quantity_based_pricing( $cart ) {
if ( is_admin() && ! defined( 'DOING_AJAX' ) ) return;
if ( did_action( 'woocommerce_before_calculate_totals' ) >= 2 ) return;
// Define discount rules and thresholds
$threshold1 = 2; // Change price if items > 100
$discount1 = 0.05; // Reduce unit price by 5%
$threshold2 = 3; // Change price if items > 1000
$discount2 = 0.1; // Reduce unit price by 10%
// Loop through cart items
foreach ( $cart->get_cart() as $cart_item_key => $cart_item )
{
if( has_term( array('cartucce-inkjet'), 'product_cat', $cart_item['product_id'] ) ){
if ( $cart_item['quantity'] >= $threshold1 && $cart_item['quantity'] < $threshold2 )
{
$price = round( $cart_item['data']->get_price() * ( 1 - $discount1 ), 2 );
$cart_item['data']->set_price( $price );
}
elseif ( $cart_item['quantity'] >= $threshold2 )
{
$price = round( $cart_item['data']->get_price() * ( 1 - $discount2 ), 2 );
$cart_item['data']->set_price( $price );
}
}
}
}
function filter_woocommerce_cart_item_price( $price_html, $cart_item, $cart_item_key ) {
// Get the product object
$product = $cart_item['data'];
// Is a WC product
if ( is_a( $product, 'WC_Product' ) ) {
// Get reqular price
$regular_price = $product->get_regular_price();
// New price
$new_price = $cart_item['data']->get_price();
// NOT empty and NOT equal
if ( ! empty ( $regular_price ) && $regular_price != $new_price ) {
// Output
$price_html = '<del>' . wc_price( $regular_price ) . '</del> <ins>' . wc_price( $new_price ) . '</ins>';
}
}
return $price_html;
}
add_filter( 'woocommerce_cart_item_price', 'filter_woocommerce_cart_item_price', 10, 3 );