Change price decimals in functions.php

Hello,

my currency switcher needs 3 decimals in order to calculate the price correctly, since i have a lot of products with a small prices like 0,045.

However, if i have 3 decimals set up, the total price also will display 3 decimals. Example: 0,045 * 1000 = 45.000€. (three decimals)
If i change the decimals to 2, it only takes 2 decimals into the calculation, therefore: 0,04 * 1000 = 40.00€

But i want it to calculate with 3 decimals (0,045) and the price that is displayed to the customer to be 45.00€ (two decimals)

I know that there is a setting within WooCommerce, where i can change the decimals: https://imgur.com/a/bSTcBC0

But as i told you, if i do that, the price gets calculated false.

So my idea is to add a filter. I want to keep the decimals in the settings of my currency switcher plugin to 3 (which will calculate the price correctly) and then in my functions.php i want to add a filter that will only show the price with 2 decimals instead of 3.

Unfortunately my programming skills are very limited, i tried to hook wc_price_args to control the formatting. But it doesnt work.

add_filter('wc_price_args', function($args) {
  // Always format prices to two decimals
  $args['decimals'] = 2;
  return $args;
}, 10);

I would be very grateful if someone could help ??

Thank you in advance.