Integration call WebAPI to save data got error

I've created an WebAPI to save data by a!writeRecords(by WebAPI creation wizard)

it worked fine when I test it by "TEST REQUEST" button, but when I call it by an Integrations, got error of

{"message":"Write request has failed","error":"The input \"Records\" refers to an invalid record type. The record type does not exist, has been deleted, or the user does not have sufficient privileges to access the data."}

I have create a Service Account, add SA to the security config with Administrator permission, to all objects, include WebAPI, RecordType

Also add the API Key(Appian-API-Key) to Connected System.

Can anyone help me?