Help: How to have expanded control strip on desktop

Hi, I just got the app and sorry if this is a dumb question but is there a way to see the expanded control strip on the desktop specifically? In Mac OS the settings are Touch Bar shows app controls

but when I go to the desktop it shows the little Touch Bar on the side:

but I want it to show the expanded control strip automatically so you don't have to do an extra press on the arrow < when you swipe to the desktop

I don't want to have the settings as Touch Bar shows expanded control strip because it just stays there always and I need the app controls as well.

Is there a way to configure this using Better Touch Tool?