Draw SwiftUI.Form style pop-up button with NSPopUpButton in AppKit

In SwiftUI on macOS, A menu-style Picker is drawn as a pop-up button. It generally looks and behaves the same as an NSPopUpButton in AppKit.

SwiftUI introduced iOS-like looking UI for settings in macOS, and consequently, the Picker also has its own style when placed inside a Form. A Form-style Picker displays only up/down chevrons and draws the background only when the mouse hovers over it. It also changes its width dynamically based on the selected item.

Form {
    Picker("Animal:", selection: $selection) {
        ForEach(["Dog", "Cow"], id: \.self) {
            Text($0)
    }
    .pickerStyle(.menu)
}

You can find it, for instance, in the Print dialog.

My question is: I couldn't find a way to draw an NSPopUpButton in AppKit with this style. Does anyone know how to achieve this in AppKit?

Some might say I should just use SwiftUI straightforwardly, but I would like to use it in a print panel accessory that currently still avoids using SwiftUI but its dialog has SwiftUI.Form-looking.