The “x” delete button in the Search bar remains visible after already pressed when deleting text in the Hierarchy V2 search bar

Steps to reproduce:

1. Create a new Unity project using the Universal 3D template
2. Enable Hierarchy V2 (Unity > Settings > General > Use new Hierarchy window)
3. Type anything into the Hierarchy V2 search bar
4. Click the "x" button on the right side of the search bar to delete the text
5. Observe the search bar

Actual results: The "x" button remains visible even after the text is already deleted

Expected results: The "x" button disappears after being pressed and deleting all the text

Reproducible with versions: 6000.3.0a6

Tested on (OS): macOS Silicon Sequoia 15.6

Notes:

• The "x" button remains even if clicked somewhere else in the Hierarchy V2 or Editor
• The "x" button disappears when clicked again after step 4
• Does not reproduce if pressing backspace/delete on the keyboard instead of clicking the "x" button