fix: Bind input value to component value

## 📑 Description The search component is not binding value to the input value anymore. It is therefore impossible to access the value of the user input in the search bar. ## ✅ Checks - [x] My pull request adheres to the code style of this project - [x] My code requires changes to the documentation - [x] I have updated the documentation as required - [ ] All the tests have passed