How to add a method to a custom component?

Unable to call component method. Public method [saveCarState] not found on component

<button wire:click="saveCarState">....

php artisan make:form-field CarStateSelector

app/Forms/Components/CarStateSelector.php

<?php

namespace App\Forms\Components;

use Filament\Forms\Components\Field;

class CarStateSelector extends Field
{
    protected string $view = 'forms.components.car-state-selector';

    public function saveCarState()
    {
        dd('hello from save');
    }
}