curl --request POST \
  --url https://api.hubapi.com/crm/v3/objects/carts/batch/archive \
  --header 'Authorization: Bearer <token>' \
  --header 'Content-Type: application/json' \
  --data '
{
  "inputs": [
    {
      "id": "430001"
    }
  ]
}
'

This response has no body data.