Terraform aws_ssm_parameter issues

bash

$ terraform plan

module.data_aws_ssm_parameter_path_to_a_parameter.data.aws_ssm_parameter.path_to_a_parameter: Reading...

Terraform used the selected providers to generate the following execution plan. Resource actions are indicated with the following symbols:
  + create
 <= read (data resources)

Terraform planned the following actions, but then encountered a problem:

  # data.aws_ssm_parameter.path_to_a_parameter will be read during apply
  # (depends on a resource or a module with changes pending)
 <= data "aws_ssm_parameter" "path_to_a_parameter" {
      + arn            = (known after apply)
      + id             = (known after apply)
      + insecure_value = (known after apply)
      + name           = "/path/to/a/parameter"
      + type           = (known after apply)
      + value          = (sensitive value)
      + version        = (known after apply)
    }

  # aws_ssm_parameter.path_to_a_parameter will be created
  + resource "aws_ssm_parameter" "path_to_a_parameter" {
      + arn            = (known after apply)
      + data_type      = (known after apply)
      + id             = (known after apply)
      + insecure_value = (known after apply)
      + key_id         = (known after apply)
      + name           = "/path/to/a/parameter"
      + tags_all       = (known after apply)
      + tier           = (known after apply)
      + type           = "String"
      + value          = (sensitive value)
      + version        = (known after apply)
    }

Plan: 1 to add, 0 to change, 0 to destroy.

Changes to Outputs:
  + path_to_a_parameter_ssm_parameter_name = "/path/to/a/parameter"
╷
│ Error: reading SSM Parameter (/path/to/a/parameter): couldn't find resource
│
│   with module.data_aws_ssm_parameter_path_to_a_parameter.data.aws_ssm_parameter.path_to_a_parameter,
│   on module/main.tf line 1, in data "aws_ssm_parameter" "path_to_a_parameter":
│    1: data "aws_ssm_parameter" "path_to_a_parameter" {
│
╵

main.tf

terraform {
  backend "local" {
    path = "main.tfstate"
  }

  required_providers {
    aws = {
      source  = "hashicorp/aws"
      version = "~> 5.2"
    }
  }
}

provider "aws" {
  region = "ap-southeast-2"
}

module "data_aws_ssm_parameter_path_to_a_parameter" {
  source = "./module/" # Note: this is here as 'module-main.tf' due to gist issues.
  path_to_a_parameter_ssm_parameter_name = aws_ssm_parameter.path_to_a_parameter.name
}

data "aws_ssm_parameter" "path_to_a_parameter" {
  name = aws_ssm_parameter.path_to_a_parameter.name
}

resource "aws_ssm_parameter" "path_to_a_parameter" {
  name  = "/path/to/a/parameter"
  value = "A value"
}

output "path_to_a_parameter_ssm_parameter_name" {
  value = aws_ssm_parameter.path_to_a_parameter.name
}

module-main.tf

data "aws_ssm_parameter" "path_to_a_parameter" {
  name = var.path_to_a_parameter_ssm_parameter_name
}

variable "path_to_a_parameter_ssm_parameter_name" {
  type = string
}