How to properly filter a Wordpress directory?

Question

WordPress

Hello!
There is a catalog page. It contains some categories. In addition, there are brands and tags by which you need to filter information. Here's a snippet from the TO.
There are 4 options for filtering goods in the catalog
1) The visitor entered the category - all products in the category are displayed without filtering
2) The visitor filtered the category only by the tag (for example: cabinet furniture -> closets)
3) The visitor filtered the category only by brand (for example: cabinet category furniture -> brand “a lot of furniture”) – only products of a specific brand remain in the category listing
4) The visitor filtered the request by brand and tag (for example: cabinet furniture -> wardrobes -> (shop) “A lot of furniture”
That is, it should be 4 url type:
1) caterory1/
2) caterory1/tag1/
3) caterory1/tag1/brand1/
4) caterory1/brand1/
The customer does not like another format of urls. For some reason, he wants to see all this with his eyes.
I wanted to do all this in categories, but somehow the 4th point does not work. I inherited caterory1->tag1->brand1 categories and everything would be ok, but he invented that he needed the 4th type. I thought about making WordPress categories + tags, but here the question arises that there is a template for displaying posts by tag, but here the tags are also in the url in different places ...
Help, it is very necessary)