```php
<x-app-layout>
    <x-slot name="header">
        <h2 class="font-semibold text-xl text-gray-800 dark:text-gray-200 leading-tight">
            {{ __('Dashboard') }}
        </h2>
    </x-slot>

    <div class="py-12">
        <div class="max-w-7xl mx-auto sm:px-6 lg:px-8">
            <div class="bg-white dark:bg-gray-800 overflow-hidden shadow-sm sm:rounded-lg">
                <div class="p-6 text-gray-900 dark:text-gray-100">
                    {{ now()->format('Y-m-d') }}
                </div>
            </div>
        </div>
    </div>
</x-app-layout>
```

I replaced `{{ __("You're logged in!") }}` with `{{ now()->format('Y-m-d') }}`, which will display the current date in YYYY-MM-DD format.

If you want to display the date in a different format, you can modify the format string. For example:
- For date and time: `{{ now()->format('Y-m-d H:i:s') }}`
- For a more readable format: `{{ now()->format('F j, Y') }}` (will show something like "January 1, 2024")
- For local format: `{{ now()->toFormattedDateString() }}`

Choose the format that best suits your needs!