Packaging weight

Is it possible to add the weight of packaging as a separate item before making the shipping calculation ?

For example: If I send one book, the shipping cost should be calculated on the weight of the book + the weight of the packaging. But if I send two books, the shipping cost is the weight of two books + the same weight of the packaging.

If I add the weight of the packaging to the product weight on the product page then the the total weight is overestimated if two or more copies of the book are added to the basket, and the customer could be overcharged.

As my sales volume is low, I am only using the free version of Woocommerce and related plugins or extensions.