如何獲取另一個集合中存在的數據

我有兩個系列，第一個是西米

{
    "_id" : ObjectId("6436b5173f502ed769062ae3"),
    "app_id" : "5d1554b5d2a57d5cda075922",
    "created_on" : ISODate("2023-04-12T13:41:43.501+0000"),
    "name" : "ABCD",
    "type" : "dynamic"
}
{
    "_id" : ObjectId("8436b513f502ed769062148"),
    "app_id" : "5d1554b5d2a57d5cda075922",
    "created_on" : ISODate("2023-04-12T13:41:43.501+0000"),
    "name" : "XYZ",
    "type" : "dynamic"
}

第二個是自動

{
    "_id" : ObjectId("6440e09511590b6c360f0962"),
    "created_on" : ISODate("2023-04-20T06:49:57.000+0000"),
    "auto_name" : "Folder",
    "trigger" : "added_to_segments",
    "trigger_value" : [
        "6436b5173f502ed769062ae3"
    ]
}

我需要獲取只存在于自動收集trigger_value中的下垂

need output

{
    "_id" : ObjectId("6436b5173f502ed769062ae3"),
    "app_id" : "5d1554b5d2a57d5cda075922",
    "created_on" : ISODate("2023-04-12T13:41:43.501+0000"),
    "name" : "ABCD",
    "type" : "dynamic"
}

我試過了

$this->mongo_db->aggregate(
    'sagment',
    [
        ['$match' => ['app_id' => $app_id]],
        ['$sort' => ['created_on' => -1]],
        ['$skip' => (int)$offset],
        ['$limit' => $limit],
        ['$lookup' => [
            'from' => 'auto',
            'localField' => 'trigger_value',
            'foreignField' => '_id',
            'as' => 'pip'
        ]]
    ]
);

我正在獲取所有下垂的數據。請幫忙。