Enhance visibility control options for products in product listing and search listing.

Per product visibility setting, the following options are currently available:

Visible (All)
Hide in product listings
Hide in product listings and search

With the current logic, it is only possible to:

Hide a product from listings, or
Hide it from both listings and search.

However, it is not possible to keep a product visible in listings (e.g., categories, sliders, cross-sellings) while hiding it only from search results.

Requested Enhancement

Introduce an additional visibility option:

Visible in listings but hidden in search

This would allow merchants to control product discoverability more precisely without removing products from structured browsing contexts. Greater flexibility for B2B and enterprise use cases.