How to transfer custom fields to new order when editing from admin panel

In Magento 2, when editing an order from the admin panel, Magento cancels the original order and creates a new one. I have added some custom fields to the sales_order table (these are not part of vanilla Magento).

Now I want to ensure that when an order is edited, my custom fields are transferred from the original order to the newly created one.

How can I properly copy these custom fields during the edit order flow?

What event or method should I hook into to achieve this?

Thanks in advance.