Transition issue via REST API for a given user

We have a situation that we want to transition ticket by using REST API with specific author details (who do transition), how can we do this with REST API.

I know that there is REST END point for this with name do Transition, https://docs.atlassian.com/software/jira/docs/api/REST/8.20.1/#issue-doTransition but there isn't a way to change the author.

The ultimate purpose is for customers to be able to change the author/owner that does the transition instead of using an automation account when triggering the REST API calls from other third-party services.