FilterLiveSearch does not clear its value

[djhi]

What you were expecting:
Clearing the FilterLiveSearch input using its clear button actually clears the value

What happened instead:
It clears but immediately reapply the value.

Steps to reproduce:

1. Enter Fusce in the live search input
2. Click the only item of the list
3. Go back to the list (using sidebar menu but it would be the same using browser history)
4. Try clearing the live search input using the clear icon

Related code:
https://stackblitz.com/edit/github-zb5dpt

Environment

• React-admin version: 4.12.1
• Last version that did not exhibit the issue (if applicable):
• React version: 17
• Browser:
• Stack trace (in case of a JS error):