Custom user meta values in shortcode

You didn’t mention whether users could only reach this page when logged in, so this example includes a check to make sure the current visitor is logged in, otherwise it won’t output anything.

<?php
// create the shortcode
add_shortcode('wpse_312268_show_cc_info', 'create_wpse_312268_shortcode');
function create_wpse_312268_shortcode() {
    // only do something if user is logged in
    if(is_user_logged_in()) {
        // get their id
        $user_id = get_current_user_id();
        // get the specific usermeta value as an array
        $cc_meta = get_user_meta($user_id, '_wc_braintree_credit_card_payment_tokens', false);
        // get specific values from the array
        $last_four = $cc_meta['last_four'];
        $card_type = $cc_meta['card_type'];
        // only show if the values aren't empty
        if(!empty($last_four) && !empty($card_type)) {
            // display with whatever markup you like
            echo "<div class="cc_info">$card_type ending in
                $last_four</div>";
        }
    }
}
?>

Depending on your needs you may also want to make the text translatable.