I am building a custom widget for my custom taxonomy and custom post type. basically it is a widget which displays recent posts from custom post type(game). I want to give the user an option to choose a term from which he want to display the custom posts. I have placed a drop-down list with all the custom terms available for my custom post type. But the problem is when user selects a term from the list, the drop-down instance $instance( cat_drop ) does not returne any value. what i will do is i will get this value and make a custom query to return all the posts from the selected term. following is my code.

    function get_all_terms(){
        $args = array(
            'taxonomy'           => 'gamecategory',
            'hide_empty'         => 0,
            'orderby'            => 'name',
            'order'              => 'ASC',
            'show_count'         => 0,
            'use_desc_for_title' => 0,
            'title_li'           => 0,
            'style'              => '',
            'echo'               => false,
        );
        $categories = wp_list_categories($args);
        if ( $categories ) {    
           // printf( '<div class="col">%s</div>', $categories );
        }
    return $categories;
    
    }
    
    /**
     * Adds Latest Games widget.
     */
    class latest_games_widget extends WP_Widget {
    
        /**
         * Register widget with WordPress.
         */
        function __construct() {
            parent::__construct(
                'latest_games_widget', // Base ID
                esc_html__( 'Latest Games', 'prisma' ), // Name
                array( 'description' => esc_html__( 'Most Recent Games', 'text_domain' ), ) // Args
            );
        }
    
        /**
         * Front-end display of widget.
         */
        public function widget( $args, $instance ) {
            echo $args['before_widget'];
            if ( ! empty( $instance['title'] ) ) {
                echo $args['before_title'] . apply_filters( 'widget_title', $instance['title'] ) . $args['after_title'];
            }
            //Widget Content
            $selected_cat = $instance['cat_drop'];
            
            $args = array('post_type' => 'game', 'gamecategory' =>$selected_cat);
            $loop = new WP_Query($args);
            if($loop->have_posts(  )): 
                while($loop->have_posts()): $loop->the_post();?>
                    <div class="col-md-3 game-card-outer">                   
                        <div class="game-card">
                            <?php if (has_post_thumbnail()): ?>
                                        <a href="<?php the_permalink();?>"><?php the_post_thumbnail('small', array('class' => 'aligncenter'));  ?></a>
                            <?php endif;?>
    
                            <a class="latest_games_widget_post_title" href="<?php the_permalink(); ?>"><?php the_title(); ?></a>
                                   
    
    
                        </div>
                    </div>
    
                    
               <?php endwhile;
            endif;
            
            //After Widget part
            echo $args['after_widget'];
        }
    
    
    
    
    
    
    
        /**
         * Back-end widget form.
         *
         * @see WP_Widget::form()
         *
         * @param array $instance Previously saved values from database.
         */
        public function form( $instance ) {
            $title = ! empty( $instance['title'] ) ? $instance['title'] : esc_html__( '', 'prisma' );
            $cat_title = ! empty( $instance['cat_title'] ) ? $instance['cat_title'] : esc_html__( '', 'prisma' );
            ?>
            <select name="" id="<?php echo ( $this->get_field_id( 'cat_drop' ) ); ?>">
                        <?php $terms = get_terms(['taxonomy' => 'gamecategory','hide_empty' => false,]);foreach($terms as $item){?>
                            <option value="<?php echo $item->name;?>"><?php echo $item->name; ?></option>
                            
                        <?php }?>
            </select>
    
            <p>
            <label for="<?php echo esc_attr( $this->get_field_id( 'cat_title' ) ); ?>"><?php esc_attr_e( 'Game category to Display:', 'prisma' ); ?></label> 
            <input class="widefat" id="<?php echo esc_attr( $this->get_field_id( 'cat_title' ) ); ?>" name="<?php echo esc_attr( $this->get_field_name( 'cat_title' ) ); ?>" type="text" value="<?php echo esc_attr( $title ); ?>">
            </p>
    
    
            <p>
            <label for="<?php echo esc_attr( $this->get_field_id( 'title' ) ); ?>"><?php esc_attr_e( 'Widget Title:', 'prisma' ); ?></label> 
            <input class="widefat" id="<?php echo esc_attr( $this->get_field_id( 'title' ) ); ?>" name="<?php echo esc_attr( $this->get_field_name( 'title' ) ); ?>" type="text" value="<?php echo esc_attr( $title ); ?>">
            </p>
           
            
             
    
            <?php 
        }
    
    
    
    
    
    
        /**
         * Sanitize widget form values as they are saved.
         *
         * @see WP_Widget::update()
         *
         * @param array $new_instance Values just sent to be saved.
         * @param array $old_instance Previously saved values from database.
         *
         * @return array Updated safe values to be saved.
         */
        public function update( $new_instance, $old_instance ) {
            $instance = array();
            $instance['title'] = ( ! empty( $new_instance['title'] ) ) ? sanitize_text_field( $new_instance['title'] ) : '';
            $instance['cat_title'] = ( ! empty( $new_instance['cat_title'] ) ) ? sanitize_text_field( $new_instance['cat_title'] ) : '';
$instance[ 'cat_drop' ] = ( !empty( $new_instance[ 'cat_drop' ] ) ? strip_tags( $new_instance[ 'cat_drop' ] ) :  esc_html__('','prisma') );
           
    
            return $instance;
        }
    
    } // class Foo_Widget
    
    
    // register Foo_Widget widget
    function register_foo_widget() {
        register_widget( 'latest_games_widget' );
    }
    add_action( 'widgets_init', 'register_foo_widget' );