Filter shop page by product(s)

Hello, i would like to find a solution for filter my shop’s front page by product tags. Eg.: example.com/shop/?product_tag=winter. And only those category will appear which is not empty.

Without product filter, eg:
Shoes (76)

With product_tag=winter should:
Shoes (32)

And i’d like to same in subcategories too. If it possible i’d like to solve this without any plugin. Thank you :))

https://wordpress.org/plugins/woocommerce/