Cannot pass Instance Ids into an automation association

Question

Is there a way to run Automation SSM Documents using Terraform?

Typically, when invoking a document such as AWS-StopEC2Instance, the target is specified as an EC2 instance, aligning with the document's purpose of stopping an EC2 instance.

However, in my case, I'm calling the AWS-CreateDSManagementInstance automation document which creates an AWS Directory Service Windows Management instance.

Sample Terraform config.

data "aws_ssm_document" "directory_management" {
    name            = "AWS-CreateDSManagementInstance"
    document_format = "YAML"
  }

resource "aws_ssm_association" "domain_service_management_instance" {
  name = data.aws_ssm_document.directory_management.name

  automation_target_parameter_name = "InstanceId"

  parameters = {
    DirectoryId            = aws_directory_service_directory.aws-managed-ad[0].id
    KeyPairName            = var.key_name
    IamInstanceProfileName = aws_iam_instance_profile.controller.name
    SecurityGroupName      = aws_security_group.amazon_ssm_directory_service_security_group.id
    AmiId                  = var.directory_management_ami_id
    InstanceType           = var.windows_instance_type
    AutomationAssumeRole   = "arn:aws:iam::1234567890:role/aws-service-role/ssm.amazonaws.com/AWSServiceRoleForAmazonSSM"
  }

  targets {
    key    = "InstanceIds"
    values = [aws_instance.directory_service_mgt_instance[0].id]
  }
}

But I get the error Error: creating SSM association: InvalidTarget: Cannot pass Instance Ids into an automation association

How can I use Terraform to simply execute an automation document while passing in the required parameters?