Python中无法访问Firestore非默认数据库的问题求助

我现在碰到了个棘手的问题：没办法访问Google Firestore里除了(default)之外的数据库。之前我查了网上的各种解决方案，尝试在凭证配置里加上databaseId参数，但根本没用，情况还是老样子。

下面是我当前的代码：

def firestore_add_doc(data):
    print('DEBUG Firestore document creation script triggered')

    # Load credentials from dictionary
    cred = credentials.Certificate(cred_dict)

    # Firestore collection name (must exist)
    FIRESTORE_COLLECTION = "firestore_collection_one"

    try:
        # Check if Firebase is already initialized
        if not firebase_admin._apps:
            firebase_admin.initialize_app(cred, {
                'projectId': 'cheftest-f174c',
                'databaseId': 'cheftestfirestore'
                })

        else:
            print("Firebase already initialized.")
        
        # Get Firestore client
        db = firestore.client()

        # Add document to Firestore
        collection_ref = db.collection(FIRESTORE_COLLECTION)
        doc_ref = collection_ref.add(data)
        print(f"Document added with ID: {doc_ref[1].id}")

    except Exception as e:
        print(f"Error adding document to Firestore: {e}")

if __name__ == "__main__":
    data = {
        "key1test": "value1test",
        "key2test": "value2test"
    }
    firestore_add_doc(data)

现在代码依然只会把数据写入(default)数据库，如果这个默认数据库不存在的话，就直接抛出错误。我已经通过Google CLI确认过，那个我想访问的非默认数据库确实是存在的，可就是没法往里写数据，有没有大佬能帮忙看看问题出在哪？

备注：内容来源于stack exchange，提问作者tom