GRecaptcha field disappears on livewire/update in a Livewire Component, but not in Panel Resource

<?php

namespace App\Livewire;

use AbanoubNassem\FilamentGRecaptchaField\Forms\Components\GRecaptcha;
use Filament\Forms\Concerns\InteractsWithForms;
use Filament\Forms\Contracts\HasForms;
use Filament\Forms\Form;
use Livewire\Component;

class SignUpForm extends Component implements HasForms
{
    use InteractsWithForms;

    public $captcha = '';

    public function form(Form $form): Form
    {
        return $form
            ->schema([
                'captcha' => GRecaptcha::make('captcha')
                    ->label('Captcha')
                    ->validationMessages([
                        'required' => 'De captcha is verplicht.',
                    ]),
            ]);
    }

    public function create(): void
    {
        $data = $this->form->getState();
    }

    public function render()
    {
        return view('livewire.sign-up-form');
    }
}

<div>
    <form wire:submit="create">
        {{ $this->form }}

        <button class="button" type="submit">
            Versturen
        </button>
    </form>

    <x-filament-actions::modals />
</div>