How to get only posts, pages and custom post types in WordPress

You can make an array of the post types you don’t want and then check in_array() to see if they match before you output anything with them.

<?php
    //You'll want to get at the actual name for My Templates.
    //My attempt is just a guess.
    $types_array = array( 'attachment' , 'elementor_library' );
    $types = get_post_types( ['public'   => true ], 'objects' );
        foreach ( $types as $type ) {
            if( !in_array( $type->name, $types_array )) {
                if ( isset( $type->labels->name) ) {
                    echo $type->labels->name . '<br>';
                }     
            }
        }
?>