How to search the site by specific categories?

Question

Create a sitemap

In general, you need a WordPress plugin with which you can customize the search bar in a certain way. The bottom line is that I need a site search that will search for products by category, for example, I went to a separate page where a product that belongs to category A is sold , and accordingly, only products from this category will be displayed in the search bar on this page, but if I I go to the page where the products from category B are located , then in the search bar, respectively, products from this category will be displayed, but from category A they will not.
Ps In general, initially I wanted to create a site on wix, but as I understand it, it can’t be implemented there, so I’m thinking of switching to WordPress, even though it’s quite complicated for me, as a beginner.