Integration with Live Search

### User Story
I'm working in a project using CIF and we are using most of the components and also new ones. We would like to use Live Search instead of using the current search capability of Adobe Commerce.

### Description & Motivation
Live Search is powered by Adobe Sensei, so it's very interesting to use and also a strong motivation in order to sell Adobe Commerce. Due to the advanced features provided by the Adobe Commerce Live Search, it would be nice to have the option to choose the search engine in the CIF Searchbar and CIF Search Results components.

### Deliverables
A possibility is the Searchbar component and the Search Results component with the option to choose the search engine. Another option would be create new components for Searchbar and Search Results integrated with Live Search.

### Acceptance Criteria

### Verification Steps

Review the existing CIF Searchbar and Search Results components first, then determine how Live Search should be selected alongside Adobe Commerce search. Done means the issue has an agreed component approach, defined acceptance criteria, and verification steps for the integration.

Written by the indexing model from the issue text.