Cannot open multiple search results in new tabs

There is a usability issue with the search functionality in the documentation:

Type any text into the search bar.

A popup with search results appears.

When trying to open a result in a new tab (via right-click → "Open in new tab" or middle mouse click), the popup disappears immediately.

As a result, it's not possible to open multiple search results in new tabs — the user has to retype the search query each time.

**Expected behavior:**

The search popup should remain open when opening a result in a new tab, allowing users to open multiple links without having to retype the query.

**Technical details:**

Browser: Chrome Version 136.0.7103.114

OS: MacOS Sequoia 15.3.2 (24D81)

**Possible solution:**

Consider preventing the popup from closing when it loses focus specifically due to opening links in new tabs.

https://github.com/user-attachments/assets/fda3a417-077f-4414-abc0-2c3daf4d4227