How to Configure django-admin-tools for Multiple Admin Sites Without Affecting the Default Admin

I'm using django-admin-tools in my Django project to create a dashboard-like custom admin site. I've successfully set up django-admin-tools following the official documentation.

My goal is to create a custom admin site and configure django-admin-tools to work exclusively for this site, without affecting the default Django admin site. Below is a simplified version of my code:

# Custom Admin Site
class AdminSiteDashboard(AdminSite):
    site_header = 'Dashboard'
    site_title = 'Dashboard Portal'
    index_title = 'Welcome to My Dashboard'


admin_site_dashboard = AdminSiteDashboard(name='admin_dashboard')

# url patterns

urlpatterns = [
    path('admin_tools/', include('admin_tools.urls')),
    path('admin/', admin.site.urls),
    path('dashboard/', admin_site_dashboard.urls),
    ...
]

# settings

ADMIN_TOOLS_MENU = {
    'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_menu.CustomMenu',
}
ADMIN_TOOLS_INDEX_DASHBOARD = {
    'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_dashboard.CustomIndexDashboard',
}

ADMIN_TOOLS_APP_INDEX_DASHBOARD = {
    'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_dashboard.CustomAppIndexDashboard',
}

I expected that by configuring django-admin-tools only for admin_site_dashboard, the default admin site would remain unaffected. However, after setting it up as shown above, I can access the dashboard at dashboard/, but I encounter an error when trying to access the default admin site at admin/. The error is:

ValueError at /admin/ Dashboard menu matching "{'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_menu.CustomMenu'}" not found，{% if user.is_active and user.is_staff and not is_popup %}{% admin_tools_render_menu_css %}{% endif %}

Is there a way to configure django-admin-tools so that it only applies to the custom admin site and does not interfere with the default Django admin site?

Any advice or suggestions would be greatly appreciated.

ADMIN_TOOLS_MENU = {
    'django.contrib.admin.site': 'base.admin_site.admin',
    'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_menu.CustomMenu',
}
ADMIN_TOOLS_INDEX_DASHBOARD = {
    'django.contrib.admin.site': 'base.admin_site.admin',
    'base.admin_site.admin_site_dashboard': 'base.admin_tools.base_admin_dashboard.CustomIndexDashboard',
}