Use ->where('post_title', '=', 'Example Page title') as condition in Carbon Fields

post_title_condition.php

class Post_Title_Condition extends Carbon_Fields\Container\Condition\Condition
{

    /**
     * Check if the condition is fulfilled
     *
     * @param  array $environment
     * @return bool
     */
    public function is_fulfilled($environment)
    {
        // var_dump($environment);
        $post = $environment['post'] ?? null;
        $result = $this->compare(
            $post->post_title ?? false,
            $this->get_comparison_operator(),
            $this->get_value()
        );
        // var_dump($result);
        return $result;
    }
}

\Carbon_Fields\Carbon_Fields::extend(Post_Title_Condition::class, function ($container) {
    // create an instance of our new class
    $condition = new Post_Title_Condition();
    $condition->set_comparers(\Carbon_Fields\Carbon_Fields::resolve('generic', 'container_condition_comparer_collections'));
    return $condition;
});

add_filter('carbon_fields_post_meta_container_static_condition_types', function ($condition_types, $container_type, $container) {
    return array_merge(
        $condition_types,
        array('post_title')
    );
}, 10, 3);