Multiple Orderby is not working right

Your orderby is wrong and should be

$args = array(
    'posts_per_page'    => 10,
    'post_type'         => 'post',
    'cat'               => $category->cat_ID,
    'paged'             => $paged,
    'meta_key'          => 'featured_blog',
    'orderby'           => array('meta_value_num' => 'DESC', 'date' => 'DESC' ),

);

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