Hab in einem anderen Post die Lösung gefunden.
Es kann folgende Payload verwendet werden, um an die Details zu gelangen:
{
    "associations": {
        "addresses": {
            "associations": {
                "country": []
            }
        },
        "transactions": {
            "associations": {
                "stateMachineState": [],
                "paymentMethod": []
            }
        },
        "salesChannel": {
            "associations": {}
        },
        "deliveries": {
            "associations": {
                "shippingOrderAddress": [],
                "shippingMethod": {
                    "associations": {
                        "deliveryTime": []
                    }
                }
            }
        },
        "orderCustomer": {},
        "lineItems": {
            "associations": {
                "product": []
            }
        }
    },
    "includes": {
        "order": [
            "id",
            "orderNumber",
            "createdAt",
            "lineItems",
            "billingAddressId",
            "salesChannelId",
            "addresses",
            "deliveries",
            "salesChannelId",
            "salesChannel",
            "stateMachineState",
            "transactions",
            "orderCustomer",
            "shippingTotal"
        ],
        "state_machine_state": [
            "id",
            "technicalName"
        ],
        "sales_channel": [
            "id",
            "name"
        ],
        "payment_method": [
            "id",
            "name",
            "formattedHandlerIdentifier"
        ],
        "shipping_method": [
            "id",
            "name",
            "deliveryTimeId",
            "deliveryTime"
        ],
        "order_transaction": [
            "id",
            "stateMachineState",
            "paymentMethodId",
            "paymentMethod"
        ],
        "order_address": [
            "id",
            "firstName",
            "lastName",
            "street",
            "zipcode",
            "city",
            "company",
            "department",
            "countryId",
            "country",
            "phoneNumber"
        ],
        "country": [
            "iso"
        ],
        "order_customer": [
            "email"
        ],
        "order_delivery": [
            "id",
            "shippingOrderAddressId",
            "shippingMethodId",
            "shippingMethod"
        ],
        "order_line_item": [
            "id",
            "position",
            "quantity",
            "unitPrice",
            "productId",
            "product",
            "payload"
        ],
        "product": [
            "productNumber",
            "name"
        ]
    }
}