Having HeaderBar of menu items with disabled arrows in TitleBar, those text menus will be there.
Something like
GtkWidget *bar = gtk_header_bar_new();
g_return_val_if_fail(GTK_IS_HEADER_BAR(bar), false);
gtk_window_set_titlebar(GTK_WINDOW(window), bar);
...
GtkWidget *button = gtk_menu_button_new();
g_return_val_if_fail(GTK_IS_MENU_BUTTON(button), NULL);
gtk_menu_button_set_label(GTK_MENU_BUTTON(button), "Actions");
gtk_menu_button_set_direction(GTK_MENU_BUTTON(button), GTK_ARROW_NONE);
...
gtk_header_bar_pack_start(GTK_HEADER_BAR(bar), button);
GtkWidget *popover = gtk_popover_menu_new_from_model(G_MENU_MODEL(menu));
g_return_val_if_fail(GTK_IS_POPOVER_MENU(popover), NULL);
gtk_menu_button_set_popover(GTK_MENU_BUTTON(button), popover);
gtk_popover_set_has_arrow(GTK_POPOVER(popover), false);
...
text menu item without arrows looks like this one