Custom widget is not appearing in the admin area

Your code worked for me; The widget appears in the admin area under Appearance > Widgets and the widget does show output on the front end.

Your widget() method is missing the output for $args['before_widget']. echo $args['before_widget']; should be added above <section id="box" class="box1">.

This would not cause the issue reported, where the widget does not appear in the admin area, but it will cause problems with the HTML output on the front end.

Widget in admin

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