How to achieve similar navigation (gif) - Flutter?

Question

Dart

I want to use PageView to navigate between screens. But I need the container with the menu to stay in place and switch between words. For me, the problem is that the menu container is between containers that need to be swiped.
My example code:

PageView(children[
   ListView(children[
     Container(child: // Stories),
     Container(child: // Menu: -Messages -Contacts  ), // <-- it shouldn't move
     Container(child: // ListTile())
  ])
])

Desired result on GIF