I would either: rethink using alpine here, use a getter for the updated_at, or make an api response, or find a javascript date library to show the dates in alpine.
Hello from the future, I've had similar issue in formating date from laravel model into alpinejs table and instead of adding moment.js which is big library,
I've solved it with casting the date from the model side into my format and sending it to alpine fromated as I want.