Support the new filebrowser filter

As noticed in https://github.com/jupyter/notebook/pull/7423

Notebook should also support the new changes related to the file browser filter which landed in https://github.com/jupyterlab/jupyterlab/pull/16446.

![image](https://github.com/user-attachments/assets/a3887c02-8413-4fea-ad7f-bc83e0503149)

To be done after https://github.com/jupyter/notebook/pull/7423 is merged.