Handle click on MenuBarExtra's icon without opening menu

Is there a way for MenuBarExtra to handle click on the icon and perform some action, without opening a view?

I know it's possible with NSStatusItem, but I already have other MenuBarExtra items that I would like to keep an order (doesn't seem like there is a way to reorder them either).

Here is a rather convoluted way to do this. Use a .window style menu bar extra, and use a NSViewControllerRepresentable as the window's content.

In the NSViewController, you can override viewWillAppear to detect the click. Then dismiss the window immediately.

struct MyView: NSViewControllerRepresentable {
    @Environment(\.dismiss) var dismiss
    
    let onClick: () -> Void
    
    class ChangeDetector: NSViewController {
        var dismiss: DismissAction?
        var onClick: (() -> Void)?
        
        override func viewWillAppear() {
            super.viewWillAppear()
            onClick?()
            Task {
                dismiss?()
            }
        }

        override func loadView() {
            self.view = NSView()
        }
    }
    
    func makeNSViewController(context: Context) -> ChangeDetector {
        let detector = ChangeDetector()
        return detector
    }
    
    func updateNSViewController(_ nsView: ChangeDetector, context: Context) {
        nsView.dismiss = dismiss
        nsView.onClick = onClick
    }
}

MenuBarExtra("Some title", systemImage: "circle.fill") {
    MyView() {
        print("Clicked!")
    }
}
.menuBarExtraStyle(.window)

As for ordering NSStatusItems, note that the user can manually drag the status items while holding down the command key to reorder them.