You have to add a taxonomy category for your new custom post type such as
function mvli_customtype_category() {
register_taxonomy(
'customtype-category',
'customtype',
array(
'label' => __( 'Category' ),
'rewrite' => array( 'slug' => 'customtype-category' ),
'hierarchical' => true,
)
);
}
add_action( 'init', 'mvli_customtype_category' );
And then you can easily open the link like this
website.com/customtype-category/
let’s say your category is named apple
website.com/customtype-category/apple
Now enjoy this code and rename and replace it with your terms.