[EAM-4101] Refine Search Page

[karolkos-glitch]

• convert class components in the function components
• adjust components tree structure - create new smaller children components in SearchHeader, use render props pattern SearchResults
• refine data flow - use render props pattern to avoid props drilling, delete some useless state (isPhoneView) or some props
• add comments for somethings that I think are not clear to me as a new developer in this codebase
• propose some solutions to refine Search Page

[karolkos-glitch]

I'm aware some things are still kind of draft here, however I would like get some feedback if I can proceed with the changes or I should drop the caching results logic and clean up and finish 100% the convertion of the code to functional components

[karolkos-glitch]

When I'm running npm run lint I'm getting 1283 problems. I understand the previous changes in the codebase (migration from cra to vite) could bring a lot of new things here, however it might be good actually to solve this issue, install something like prettier and setup the CI to ensure all PRs are written in the same way and the code formatting in the whole codebase is also the same?