New ticket with REST API and Created Date

I am using the REST API from a remote machine to create new tickets.
I need to set the Created date but when I do this from the new ticket URL, I get an error saying Created is an unknown field.
If I create the ticket and then use the update API to set the Created date, I get an error that Created is a immutable field.
How do I set the Created date of a new ticket to be the date of the ticket creation that I need to set it to rather then when I make the ticket with the REST API?

(The ticket info is coming from another system and I need the ticket date to match the security detection event I am using to create the ticket content from.)