feat: add a prop to hide search button in `Search` component

[lauthieb]

Changes description

Closes #1358

For your information, I will ask designers to rename the Figma variant "Show search" => "Show search button"

Checklist

• [x] Make sure you are requesting to pull a topic/feature/bugfix branch. Please, don't request directly from your main!
• [x] Check commits & PR names matches our requested structure. It must follow the https://www.conventionalcommits.org pattern.
• [x] Check your code additions will fail neither code linting checks.
• [x] I have reviewed the submitted code.
• [x] I have tested on related showcases.
• [x] If it includes design changes, please ask for a review design-system-core-team-design GitHub team.

Does this introduce a breaking change?

• No

Other information

[thibault-mahe]

To make sure I understand, the original ticket said:

A search similar to the native one on Android and IOS with a 🔍 search icon on the left to indicate that it's a search bar, but not as a button to validate.

but here the decision is to remove the icon, is this right?

[lauthieb]

@thibault-mahe, yes :)