I have a Parent -> Child -> Grandchild relationship that look a bit like this

'Menu' has many 'Courses' and 'Meals'
'Course' has many 'Meals' and belongs to many 'Menus'
'Meal' belongs to many 'Courses' and 'Menus'

class Menu extends Page {
    private static $many_many = array(
        'Courses' => 'Course',
        'Meals' => 'Meal'
    );
    ...
}
 

class Course extends DataObject { 
    private static $belongs_many_many = array(
        'Menus' => 'Menu'
    );
    private static $many_many = array(
    	'Meals' => 'Meal'
    );
    ...
}
 

class Meal extends DataObject {
     private static $belongs_many_many = array(
     	'Menus' => 'Menu',
     	'Courses' => 'Course'
    );
    ...

In the Menu.ss page template I loop through 'Courses' and within that, I loop through Meals.
This gives me the correct courses associated to the menu, the correct meals associated to the course, but ignores the meals relationship to the menu.

How do I get the correct meals associated to the course and menu?