Sidebar show posts by current category also in single post

Well, let me first describe the full code in code comments. Please read the comments carefully-

// By this below code you are returning TRUE to the filter 'tve_dash_enqueue_frontend' filter. Which is I think, is turning something on.
add_filter( 'tve_dash_enqueue_frontend', '__return_true' );

// Here you are hooking the `widget_posts_args` filter with `my_widget_posts_args` function.
add_filter( 'widget_posts_args', 'my_widget_posts_args');
function my_widget_posts_args($args) {
    // Look here, this is the twist.
    // with checking on `is_category()` function you are making this behavior for categories only.
    if ( is_category() ) {
        $cat = get_queried_object();
        return array(
            'posts_per_page' => 10,
            'no_found_rows' => true,
            'post_status' => 'publish',
            'ignore_sticky_posts' => true,
            'cat' => $cat -> term_id//the current category id
        );
    }
    else {
        // If it is not category it is returning `$args` for normal behaviour.
        return $args;

    }
}

So for making it work on single page as well you need to modify the if condition block and the code block will look like below-

// By this below code you are returning TRUE to the filter 'tve_dash_enqueue_frontend' filter. Which is I think, is turning something on.
add_filter( 'tve_dash_enqueue_frontend', '__return_true' );

// Here you are hooking the `widget_posts_args` filter with `my_widget_posts_args` function.
add_filter( 'widget_posts_args', 'my_widget_posts_args' );
function my_widget_posts_args( $args ) {
    // Look here, this is the twist.
    // with checking on `is_category()` function you are aking this behaviour for categories only.
    if ( is_category() ) {
        $cat = get_queried_object();
        return array(
            'posts_per_page' => 10,
            'no_found_rows' => true,
            'post_status' => 'publish',
            'ignore_sticky_posts' => true,
            'cat' => $cat -> term_id, //the current category id
        );
    } else {
        // If it is a single post then it'll return posts from the category(s) of current post.
        global $post;
        return array(
            'posts_per_page' => 10,
            'no_found_rows' => true,
            'post_status' => 'publish',
            'ignore_sticky_posts' => true,
            'category__in' => get_the_category( $post->ID ),
        );

    }
}

Notice: If it is a single post then it’ll show posts from the category(s) of current post at widget.

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