Полученный хук:

{
  "leads[add][0][id]": [
    "29033334"
  ],
  "leads[add][0][name]": [
    ""
  ],
  "leads[add][0][status_id]": [
    "42526125"
  ],
  "leads[add][0][old_status_id]": [
    "22324948"
  ],
  "leads[add][0][price]": [
    "0"
  ],
  "leads[add][0][responsible_user_id]": [
    "2873617"
  ],
  "leads[add][0][last_modified]": [
    "1640271675"
  ],
  "leads[add][0][modified_user_id]": [
    "2873617"
  ],
  "leads[add][0][created_user_id]": [
    "2873617"
  ],
  "leads[add][0][date_create]": [
    "1640271674"
  ],
  "leads[add][0][pipeline_id]": [
    "4627251"
  ],
  "leads[add][0][account_id]": [
    "22324900"
  ],
  "leads[add][0][created_at]": [
    "1640271674"
  ],
  "leads[add][0][updated_at]": [
    "1640271675"
  ],
  "account[subdomain]": [
    "marlennsk"
  ],
  "account[id]": [
    "22324900"
  ],
  "account[_links][self]": [
    "https://marlennsk.amocrm.ru"
  ]
}

Запрос на получение лида по ID (в нем пустые тэги, хотя создавался с тэгом "Нск"):

2021-12-23 15:01:15.474  INFO 7 --- [nio-8211-exec-8] t.i.a.o.a.s.impl.AmoCrmServiceImpl       : OPERATION_DETAILS: {serverResponseStatusLine=HTTP/1.1 200 OK, requestLine=GET https://marlennsk.amocrm.ru/api/v4/leads/29033334?with=contacts HTTP/1.1, jsonBodyResponse=
{
    "id": 29033334,
    "name": "Сделка #29033334",
    "price": 0,
    "responsible_user_id": 2873617,
    "group_id": 0,
    "status_id": 42526125,
    "pipeline_id": 4627251,
    "loss_reason_id": null,
    "created_by": 2873617,
    "updated_by": 2873617,
    "created_at": 1640271674,
    "updated_at": 1640271675,
    "closed_at": null,
    "closest_task_at": null,
    "is_deleted": false,
    "custom_fields_values": null,
    "score": null,
    "account_id": 22324900,
    "_links": {
        "self": {
            "href": "https://marlennsk.amocrm.ru/api/v4/leads/29033334"
        }
    },
    "_embedded": {
        "tags": [],
        "companies": [],
        "contacts": [
            {
                "id": 42547840,
                "is_main": true,
                "_links": {
                    "self": {
                        "href": "https://marlennsk.amocrm.ru/api/v4/contacts/42547840"
                    }
                }
            }
        ]
    }
}}

Тот же запрос инициированный через некоторое время после создания лида:
2021-12-23 15:09:53.821  INFO 7 --- [nio-8211-exec-9] t.i.a.o.a.s.impl.AmoCrmServiceImpl       : OPERATION_DETAILS: {serverResponseStatusLine=HTTP/1.1 200 OK, requestLine=GET https://marlennsk.amocrm.ru/api/v4/leads/29033334?with=contacts HTTP/1.1, jsonBodyResponse=
{
    "id": 29033334,
    "name": "Сделка #29033334",
    "price": 0,
    "responsible_user_id": 2873617,
    "group_id": 0,
    "status_id": 42526125,
    "pipeline_id": 4627251,
    "loss_reason_id": null,
    "created_by": 2873617,
    "updated_by": 2873617,
    "created_at": 1640271674,
    "updated_at": 1640271675,
    "closed_at": null,
    "closest_task_at": null,
    "is_deleted": false,
    "custom_fields_values": null,
    "score": null,
    "account_id": 22324900,
    "_links": {
        "self": {
            "href": "https://marlennsk.amocrm.ru/api/v4/leads/29033334"
        }
    },
    "_embedded": {
        "tags": [
            {
                "id": 546134,
                "name": "Нск"
            }
        ],
        "companies": [],
        "contacts": [
            {
                "id": 42547840,
                "is_main": true,
                "_links": {
                    "self": {
                        "href": "https://marlennsk.amocrm.ru/api/v4/contacts/42547840"
                    }
                }
            }
        ]
    }
}}