VSCode - add inputs to tree view

I'm working on a tree view; and would like to have a few inputs available - which I will use for searching and filtering.

I don't mind getting rather hacky; I'm just prototyping some ideas. At the moment I added a command pallet which opens a window.showInputBox( and sets context.globalState.update("tree ViewSearch", result) based on the input; and then I read that state in my tree view.

I firstly would just like to reduce the amount of clicking required; and to keep my input visible.

Is it possible to add inputs near by the added tree view - aiming for something like the below image?

Thanks!