[scheduler][styled] Refine view management menu

We should refine the Menu to open on clicking only on the chevron, instead of the last item.

Before:

<img width="1407" height="1033" alt="Image" src="https://github.com/user-attachments/assets/c0a5f96a-bbf0-464d-808a-0c1bf9ee6af9" />

After:

<img width="1699" height="2027" alt="Image" src="https://github.com/user-attachments/assets/1a07d056-8622-48a4-bcf0-6d4d141d18a1" />