How to change url for custom type in wordpress?

Question

WordPress

Hello, I tried a bunch of options, but I can't get it to work the way I want.

There is a custom type and a custom taxonomy made through the Custom Post Type UI.
We need links of the form:
site/taxonomy
site/taxonomy/post

or at least
site/type/taxonomy <- this option works
site/type/taxonomy/post <- this one is not

after all the manipulations took this form

//тип
  $args = [
    "labels" => $labels,
    "public" => true,
    "publicly_queryable" => true,
    "show_ui" => true,
    "show_in_rest" => true,
    "rest_base" => "",
    "rest_controller_class" => "WP_REST_Posts_Controller",
    "has_archive" => true,
    "show_in_menu" => true,
    "show_in_nav_menus" => true,
    "delete_with_user" => false,
    "exclude_from_search" => false,
    "capability_type" => "post",
    "map_meta_cap" => true,
    "hierarchical" => false,
    "rewrite" => [ "slug" => "service", "with_front" => false ],
    "query_var" => true,
    "taxonomies" => [ "service_taxonomy" ],
    "show_in_graphql" => false,
  ];

//таксономия
  $args = [
    "public" => true,
    "publicly_queryable" => true,
    "hierarchical" => true,
    "show_ui" => true,
    "show_in_menu" => true,
    "show_in_nav_menus" => true,
    "query_var" => true,
    "rewrite" => [ 'slug' => 'service', 'with_front' => false, ],
    "show_admin_column" => false,
    "show_in_rest" => true,
    "rest_base" => "service_taxonomy",
    "rest_controller_class" => "WP_REST_Terms_Controller",
    "show_in_quick_edit" => false,
    "show_in_graphql" => false,
  ];

How to fix?