How to filter by text if multiple values ​​are specified (andFilterWhere->or->like)?

Question

Yii

Several items are selected via select (array $this->product_name).

How to build andFilterWhere->or->like so that it works?? The one below doesn't work....

$this->product_name = [
    1 => 'Имя 1',
    2 => 'Имя 2',
    3 => 'Имя 3',
];

$query->andFilterWhere([
    'or', ['like', Products::tableName() . '.product_name', $this->product_name]
]);