[10$ for resolving] Custom post type taxonomies in Multilingual Press

Hello!

I am using Multilingual Press and Network Site Plugin to make multilanguige site. My WP site has static home page, blog page, another pages and one portfolio page.

I defined portfolio page as custom post type and added custom taxonomies to this portfolio custom post type.

register_post_type('portfolio', array(
					'label' => 'Projects',
					'description' => '',
					'public' => true,
					'show_ui' => true,
					'show_in_menu' => true,
					'capability_type' => 'page',
					'hierarchical' => true,
					'rewrite' => array('slug' => 'portfolio'),
					'query_var' => true,
					'has_archive' => true,
					'exclude_from_search' => false,
					'supports' => array('title','editor','excerpt','custom-fields','comments','revisions','thumbnail','author','page-attributes',),
					'labels' => array (
							  'name' => 'Projects',
							  'singular_name' => 'Project',
							  'menu_name' => 'Projects',
							  'add_new' => 'Add Project',
							  'add_new_item' => 'Add New Project',
							  'edit' => 'Edit',
							  'edit_item' => 'Edit Project',
							  'new_item' => 'New Project',
							  'view' => 'View Project',
							  'view_item' => 'View Project',
							  'search_items' => 'Search Projects',
							  'not_found' => 'No Projects Found',
							  'not_found_in_trash' => 'No Projects Found in Trash',
							  'parent' => 'Parent Project',
							),
					)
		);
register_taxonomy(
			'cat',
			array (0 => 'portfolio',),
			array(
				'hierarchical' => true,
				'label' => 'Categories',
				'show_ui' => true,
				'query_var' => true,
				'rewrite' => array('slug' => 'cat'),
				'singular_label' => 'Category'
				)
		);
register_taxonomy(
			'tags',
			array (0 => 'portfolio',),
			array(
				'hierarchical' => false,
				'label' => 'Tags',
				'show_ui' => true,
				'query_var' => true,
				'rewrite' => array('slug' => 'tags'),
				'singular_label' => 'Tag'
				)
		);

Problem is to display correctly categories in this custom post type page. WP makes links like https://domain.com/blog/portfolio/some-project !
Why it goes to /blog? The same are about ‘cat’ and ‘tags’.
If I want to filter to specific portfolio category, WP dont find any templates I created (cat.php, archive-cat.php, portfolio-cat.php), it shows 404 page.

How to resolve this?

Best Regards.
Leo.

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