Google Script Services: Charts without UiApp

Question

UiApp is deprecated, but the Charts service isn't. They direct you to use the HTML service instead.

How would one replicate the functionality of this simple chart/dashboard from this Apps Script tutorial: https://developers.google.com/apps-script/articles/charts_dashboard

In the tutorial you build a dashboard (from the Charts service) and then use the now deprecated UiApp to create the HTML output as follows:

var uiApp = UiApp.createApplication();

  dashboard.add(uiApp.createVerticalPanel()
                .add(uiApp.createHorizontalPanel()
                    .add(ageFilter).add(genderFilter)
                    .setSpacing(70))
                .add(uiApp.createHorizontalPanel()
                    .add(pieChart).add(tableChart)
                    .setSpacing(10)));

  uiApp.add(dashboard);
  return uiApp;

I can't figure out how to make the dashboard without UiApp!