Laravel Carbon, retrieve today’s date with weekday?

I’m not sure that Carbon has such formatting, but what you could do is get the wekkday from a map of days and the current week day constant:

$weekMap = [
    0 => 'SU',
    1 => 'MO',
    2 => 'TU',
    3 => 'WE',
    4 => 'TH',
    5 => 'FR',
    6 => 'SA',
];
$dayOfTheWeek = Carbon::now()->dayOfWeek;
$weekday = $weekMap[$dayOfTheWeek];