Round prices in woocommerce without rounding the total tax at cart and checkout

Question

I have tried rounding prices with this function and it works fine on the entire site.

add_filter( 'raw_woocommerce_price', 'round_up_raw_woocommerce_price' );
function round_up_raw_woocommerce_price( $price ){
    return ceil( $price );
}

However, it also rounds the total value of taxes in the cart and checkout total. Consequently, the breakdown of the tax amount is incorrect from an accounting point of view.

For example, let's put a rounded order total of €195 with 23% tax included. Using this function it will be displayed that total includes €37 of taxes instead of €36.46, which would be correct.

So it is an incorrect value if e.g. you want to generate an invoice from the purchase order.

Is there a way to add an exception so that the total taxes are not rounded?