Unable to remove puzzle icon from search bar on my iPad OS 26

I don’t have any extensions installed so why does my Safari Private browser show the puzzle piece.

There is no way to remove the puzzle icon.

When the puzzle icon is pressed, it takes me to the App Store extensions section. This hardly seems private having a permanent icon with link watching over you?

Strangely, my iPhone’s iOS26 Safari browser does not have this puzzle icon showing in Safari - only on my iPad - which leads me question whether this is an intended behaviour on the iPad, or a bug?