curl --request PUT \
  --url https://api.hubapi.com/crm/v3/lists/folders/{folderId}/move/{newParentFolderId} \
  --header 'Authorization: Bearer <token>'

{
  "folder": {
    "createdAt": "2023-11-07T05:31:56Z",
    "parentFolderId": "<string>",
    "childNodes": [
      {}
    ],
    "name": "<string>",
    "id": "<string>",
    "childLists": [
      123
    ],
    "updatedContentsAt": "2023-11-07T05:31:56Z",
    "userId": 123,
    "updatedAt": "2023-11-07T05:31:56Z"
  }
}