Barring or cuckoo will express with one copy.
In reading your first post it seemed you wanted any pattern and had a preference to a double lace which partridge is. Oh wait, guess it's triple lace.
She's partridge, he's some mix.
You'd have to backcross a K from her then you'd have 50% partridge. Work on pattern from there. What you are forgetting is it takes two pattern genes to express. The cock pictured likely doesn't have a pattern gene. So to get there it would take F1 backcrossed to...