Run laravel dusk browser automation after form submission

I have a simple filament v3 form once the user type a text inside that form and click submit then the laravel dusk browser automation should get the value from the input field and make a search in google.

How to achieve this:

app/Filament/Pages/Search

<?php

namespace App\Filament\Pages;

use Filament\Forms\Form;
use Filament\Pages\Page;
use Filament\Actions\Action;
use Filament\Forms\Components\Wizard;
use Filament\Forms\Components\TextInput;
use Filament\Forms\Components\ViewField;
use Filament\Forms\Components\Wizard\Step;
use Filament\Pages\Concerns\InteractsWithFormActions;

class Test extends Page
{
    use InteractsWithFormActions;
    
    protected static ?string $navigationIcon = 'heroicon-o-document-text';

    protected static string $view = 'filament.pages.test';

    public ?array $data = [];

    public function mount(): void
    {
        $this->form->fill();
    }

    public function form(Form $form): Form
    {
        return $form;
    }

    protected function getForms(): array
    {
        return [
            'form' => $this->form(
                $this->makeForm()
                    ->schema([
                        TextInput::make('text')
                            ->label('Write something...')
                            ->required(),
                    ])
                    ->statePath('data'),
            ),
        ];
    }

    public function submit(): void
    {
        dd($this->form->getState());
    }

    protected function getFormActions(): array
    {
        return [
            $this->getSubmitFormAction(),
        ];
    }

    protected function getSubmitFormAction(): Action
    {
        return Action::make('submit')
            ->label(__('Submit'))
            ->submit('submit');
    }
}

tests/Browser/SearchTest.php

<?php

use Laravel\Dusk\Browser;

test('form test', function () {
    $this->browse(function (Browser $browser) {
        $browser
            ->visit('https://www.google.com/')
            ->type('textarea[name="q"]', 'Elon Musk')
            ->waitFor('input[name="btnK"]')
            ->press('input[name="btnK"]')
            ->waitFor('.g');
    });
});