[bug] Version selector is not blurred out during search

Starting the search on [site](https://docs.conan.io/2/) opens the search popup widget, while the rest of the screen is blurred out. 
Except the version selector on the page bottom left corner. 

<img width="1413" height="519" alt="Image" src="https://github.com/user-attachments/assets/c195aabe-8f57-4657-9f3d-16e733750c1d" />

This doesn't look like expected behavior. 