php - PhalconPHP - get specific object with multiple relations

I have a model, call it Robot, which has multiple manyToMany relationships with other models - Part, Country and Permision. Relation models being RobotsParts, RobotsCountries and RobotsPermissions.

Each robot can have multiple or no parts, countries and permissions linked to them.

To get all the robots with a certain part, PhalconPHP makes it easy. (aliases being properly set in models, of course).

$part = Part::findFirstByName("arm");
$robotsWithPart = $part->robots;
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The same thing applies for robots with a certain country:

$country = Country::findFirstByCode("HR");
$robotsWithCountry = $country->robots;
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But how can one get only robots with a certain part, country and permission?

I've had futile attempts like:

$country = Country::findFirstByCode("HR");
$part = Part::findFirstByName("arm");

$robots = $country->getRobots([
    'conditions' => "(partId = :pid:)",
    'bind' => [
        'pid' => $part->id
    ]
]);
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But, of course, partId is not recognized as it doesn't belong to any of the selected models;