[Draft] Rebase and fix the SearchBox migration branch

[eugenes78]

Description

This is a rebased version of the original @DzmitryFomchyn's branch

Screenshots or Gifs

Checklist

• [x] My code follows the style guidelines of this project
• [x] I have performed a self-review of my own code
• [x] I have updated the CHANGELOG including this PR (where applicable)
• [x] I have run tests and automatic checks locally
• [ ] I have run pitest check locally and checked that the coverage increased (or didn't change) or decreased insignificantly
• [ ] I have made corresponding changes to the documentation (where applicable)
• [x] I have grouped commits logically or I promise to squash my commits before merge