Remove PWB brands from wordpress search

Hi there, I’m also trying to achieve this.

I have a custom search results page but if the customer looks for a brand using the search form then the results page is different from the custom one.

URL if you look for “dog” (a regular word, not a brand name) would be: https://mydomain.com/?s=dog

URL if you look for a word that is a brand name (lets say nike), would be:
https://mydomain.com/brand/nike

That second URL looks different from the one that I created for the results page.

Is there a way to avoid getting that different search results page?

Thank you!