Navigation title is not visible in root of navigation stack of UITabBarController using UITab layout on iPad

Description

Title of the view controller is not displayed for the 1st view controller in navigation stack.

Is there a way to show it?

Main problem is that selected tab is a UITabGroup and there's no way to understand which child of it is currently selected without opening the sidebar or guessing by the content.

Human Interface Guidelines

In the guidelines there are examples with title visible on the iPad in similar case: https://developer.apple.com/design/human-interface-guidelines/tab-bars

Code

import UIKit
import SwiftUI

struct TestView: View {
    var tab: UITab?
    let id = UUID()

    var body: some View {
        ScrollView {
            HStack {
                Spacer()
                VStack {
                    Text(tab?.title ?? id.uuidString)
                }
                Spacer()
            }
            .frame(height: 1000)
            .background(.red)
            .onTapGesture {
                tab?.viewController?.navigationController?.pushViewController(
                    TestViewController(nil), animated: true
                )
            }
        }
    }
}

class TestViewController: UIHostingController<TestView> {
    let _tab: UITab?

    init(_ tab: UITab?) {
        self._tab = tab
        super.init(rootView: TestView(tab: _tab))
    }
    
    @MainActor @preconcurrency required dynamic init?(coder aDecoder: NSCoder) {
        fatalError("init(coder:) has not been implemented")
    }

    override func viewDidLoad() {
        super.viewDidLoad()
        navigationItem.title = _tab?.title ?? "tab-nil"
    }
}

class ViewController: UITabBarController {

    override func viewDidLoad() {
        super.viewDidLoad()

        mode = .tabSidebar

        let provider: (UITab) -> UIViewController = { tab in
            print(tab)
            return TestViewController(tab)
        }

        let tab1 = UITabGroup(
            title: "Tab 1",
            image: UIImage(systemName: "1.square.fill"),
            identifier: "tab1",
            children: [
                UITab(title: "Sub 1",
                      image: UIImage(systemName: "1.circle"),
                      identifier: "First Tab",
                      viewControllerProvider: provider),
                UITab(title: "Sub 2",
                      image: UIImage(systemName: "2.circle"),
                      identifier: "Second Tab",
                      viewControllerProvider: provider)
            ])
        tab1.selectedChild = tab1.children[0]
        tab1.managingNavigationController = UINavigationController()

        let tab2 = UITabGroup(
            title: "Tab 2",
            image: UIImage(systemName: "2.square.fill"),
            identifier: "Section one",
            children:
                [
                    UITab(
                        title: "Sub 1",
                        image: UIImage(systemName: "a.circle"),
                        identifier: "Section 1, item A",
                        viewControllerProvider: provider),

                    UITabGroup(title: "Sub Group", image: nil, identifier: "q",
                               children: [
                                UITab(
                                    title: "Item 1",
                                    image: UIImage(systemName: "b.circle"),
                                    identifier: "c1",
                                    viewControllerProvider: provider),
                                UITab(
                                    title: "Item 2",
                                    image: UIImage(systemName: "b.circle"),
                                    identifier: "c2",
                                    viewControllerProvider: provider)
                               ],
                               viewControllerProvider: provider
                              ),
                ]
        )
        tab2.selectedChild = tab2.children[0]
        tab2.managingNavigationController = UINavigationController()

        tabs = [
            tab1,
            tab2,
        ]

        selectedTab = tab1
    }
}