Picker (like Mac's Contacts App) -- But there's no way to hide the background button style in SwiftUI

ContentView.swift

import SwiftUI

struct ContentView: View {
    var body: some View {
        ContactEditor()
            .frame(width: 500)
    }
}

struct ContactEditor: View {

    private let fields = ["mobile", "home", "work", "bill-collectors"];

    @State private var phone = "";
    @State private var field = "mobile"

    var body: some View {
        VStack {
            HStack {
                Picker("", selection: $field) {
                    ForEach(fields, id: \.self) { field in
                        Text(field).tag(field)
                    }
                }
                .fixedSize()
                .pickerStyle(.menu)

                TextField("Phone number", text: $phone)
            }
        }
        .padding()
    }
}