[Media Library enhancement] When moving a file to another folder, dropdown arrow is not understandable enough

[MarionLemaire]

Bug report

Required System information

Node.js version: v20.9.0
Strapi version: 4.24.6 , and 4.24.5 and previous versions (same thing on V5 btw)
Operating system: Windows WSL and OS

Describe the bug

It's not a bug, it's an improvement to propose as my co-testers raised it as a bug because they couldn't use the folders in ML properly :
When you have many folders in your ML, and you are updating a media file by wanting to move it from root to another nested folder, it is really not intuitive to find the way to the nested folders dropdown. You feel stuck in root: "i have two folders, but when I try to assign an uploaded file to a folder, i don’t get any of them, i just have “Media library”"

Steps to reproduce the behavior

1. Go to Media Library
2. Create folders and nested folders on 3 levels
3. Upload Media files on root
4. Update one media file by trying to move it to a nested folder

Expected behavior

User should easily find the way to reach nested folders.

Screenshots

[Jaishree2310]

Hi @MarionLemaire @derrickmehaffy Can you please assign this issue to me?
Thanks!!