Livewire buscar fecha con formato

Hola que tal, espero esten bien.
Estoy intentando hacer busquedas de fechas en una tabla desde un input llamado Search pero al hacer la busqueda no encutra nada, por que el formato que busco no concuerda con el formato de la BD, ejemplo: busco "16/03/2022" pero en la DB esta "2022-03-16" y creo que eso es el problema.
Intente usar el Casts pero no funciona o no se usarlo o que... Ayuda
-- Model --

class Holiday extends Model
{
    use HasFactory;

    protected $fillable =['name','holiday','comments'];

    protected $casts =[
        'search' => 'date:Y-m-d'
    ];

    public function getRouteKeyName()
   {
     return "name";
   }
   
}

Livewire Class Component

class HolidaysIndex extends Component
{
    use WithPagination;

    protected $paginationTheme = "Bootstrap";

    protected $casts =[
        'search' => 'date:Y-m-d'
    ];

    public $search="";

    public $perPage = "10";

    public $sortField = "created_at";

    public $sortDirection = "desc";

    public $querySearch = 
    [
        'search' => ['except' => ''],
        'perPage' => ['except' => '10']
    ];

    public function clear()
    {
        $this->search = "";
        $this->page = 1;
        $this->perPage = '10';
    }

    public function updatingSearch()
    {
        $this->resetPage();
    }

    public function updatedReminder()
    {
        $this->search =Carbon::createFromFormat('Y-m-d',$this->search);
    }

    public function sortBy($field)
    {
        if($this->sortField === $field)
        {
            $this->sortDirection = $this->sortDirection === 'asc' ? 'desc' : 'asc';
        }else
        {
            $this->sortDirection = 'asc';
        }   
        $this->sortField = $field;
    }

    public function render()
    {
        $holidays = Holiday::Where('name','like',"%{$this->search}%")
        ->Orwhere('date','like',"%{$this->search}%")
        ->Orwhere('comments','like',"%{$this->search}%")
        ->orderBy($this->sortField,$this->sortDirection)
        ->paginate($this->perPage);

        return view('livewire.admin.holidays.holidays-index',compact('holidays'));
    }
}

Livewire Component

<div class="card-body">
        <table class="table table-script">
            <thead>
                <tr>
                    <th>ID</th>
                    <th>NAME</th>
                    <th>DATE</th>
                    <th>COMMENTS</th>
                    <th colspan="2"></th>
                </tr>
            </thead>

            <tbody>
                @forelse ($holidays as $holiday)
                    <tr wire:loading.class='opacity-25'>
                        <td>{{ $holiday->id }}</td>
                        <td>{{ $holiday->name }}</td>
                        <td>{{ date('m/d/Y', strtotime($holiday->date)) }}</td>
                        <td>{{ $holiday->comments }}</td>
                        <td width="10px">
                            <a href="{{ route('admin.holidays.edit',$holiday) }}" class="btn btn-primary btn-sm">{{ __('Edit') }}</a>
                        </td>
                        <td width="10px">
                            <form action="{{ route('admin.holidays.destroy',$holiday) }}" method="POST">
                                @csrf
                                @method('delete')
                                <button type="submit" class="btn btn-danger btn-sm">{{ __('Delete') }}</button>
                            </form>
                        </td>
                    </tr>
                @empty
                        <td colspan="5" class="py-4">
                            <div class="d-flex justify-content-center align-items-center border rounded bg-primary my-6">
                                <span class="fs-12">
                                    No order Found...
                                </span>
                                <span class="py-10">
                                    <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" fill="currentColor" class="bi bi-exclamation-diamond" viewBox="0 0 16 16">
                                        <path d="M6.95.435c.58-.58 1.52-.58 2.1 0l6.515 6.516c.58.58.58 1.519 0 2.098L9.05 15.565c-.58.58-1.519.58-2.098 0L.435 9.05a1.482 1.482 0 0 1 0-2.098L6.95.435zm1.4.7a.495.495 0 0 0-.7 0L1.134 7.65a.495.495 0 0 0 0 .7l6.516 6.516a.495.495 0 0 0 .7 0l6.516-6.516a.495.495 0 0 0 0-.7L8.35 1.134z"/>
                                        <path d="M7.002 11a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 4.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 4.995z"/>
                                      </svg>
                                </span>
                            </div>
                        </td>
                @endforelse
            </tbody>
        </table>
    </div>

Gracias...