create breadcrumb from sql closure table and calculate depth - sql

Question

I have created a simple hierarchy with closure table and I want to create breadcrumb dynamically and also to calculate the depth.
The code for the structure is:
CREATE TABLE categories (
id int IDENTITY(1,1) not null,
created_date datetime not null DEFAULT GETDATE(),
updated_date datetime not null DEFAULT GETDATE(),
title nvarchar(max) NOT NULL,
CONSTRAINT PK_categories_id PRIMARY KEY CLUSTERED (id),
);
CREATE TABLE childcategories (
parent_id int,
child_id int,
CONSTRAINT PK_childcategories PRIMARY KEY NONCLUSTERED ([parent_id],[child_id]),
CONSTRAINT FK_childcategories_parent_id FOREIGN KEY (parent_id) REFERENCES
categories(id),
CONSTRAINT FK_childcategories_child_id FOREIGN KEY (child_id) REFERENCES
categories(id),
);
insert into categories(title)
values ('hardware'), ('cpu'), ('gpu') , ('intel'), ('amd'), ('nvidia')
insert into childcategories(parent_id,child_id)
values (1,2), (1,3),(2,4), (2,5),(3,4), (3,5), (3,6)
So far the recursive cte I have is:
with cpe as (
select c.id as parent_id,c.title as parent_title,children.id as
child_id,children.title as child_title
from categories c
inner join childcategories parents on parents.parent_id=c.id
inner join categories children on children.id=parents.child_id
union all
select children.id as parent_id,children.title as parent_title,children.id as
child_id,children.title as child_title
from cpe
inner join childcategories cteparents on cteparents.child_id=cpe.parent_id
inner join categories children on children.id=cteparents.parent_id
)
select * from cpe;