Question about private DNS with postgresql flexible server resource

Hello everyone,
I have a question regarding the PostgreSQL Flexible server resource:

When I create a server via the Azure portal and choose a Private DNS zone, it automatically creates an A record with the private IP of the Postgres server. How can I achieve the same behaviour with Terraform?

I tried the code below but it didn’t work, the Private DNS is created and linked to the VNet, but I can’t find a way to register the A record automatically.

resource "azurerm_postgresql_flexible_server" "db_server" {
  name                                   = "${var.environment}-${var.api_app_name}"
  resource_group_name     = azurerm_resource_group.app.name
  location                               = azurerm_resource_group.app.location
  version                                = "11"
  delegated_subnet_id        = azurerm_subnet.app.id
  administrator_login          = "dbadmin"
  administrator_password = random_password.dbadmin.result

  storage_mb = 32768

  sku_name = var.postgres_server_sku
}

resource "azurerm_virtual_network" "app" {
  name                               = var.app_name
  address_space               = ["10.10.10.0/24"]
  location                           = azurerm_resource_group.app.location
  resource_group_name = azurerm_resource_group.app.name
}

resource "azurerm_subnet" "app" {
  name                                = azurerm_resource_group.app.name
  resource_group_name  = azurerm_resource_group.app.name
  virtual_network_name  = azurerm_virtual_network.app.name
  address_prefixes           = ["10.10.10.0/24"]
  service_endpoints        = ["Microsoft.Storage"]

  delegation {
    name = "fs"
    service_delegation {
      name = "Microsoft.DBforPostgreSQL/flexibleServers"
      actions = [
        "Microsoft.Network/virtualNetworks/subnets/join/action",
      ]
    }
  }

}
resource "azurerm_private_dns_zone" "db_server" {
  name                               = "${azurerm_postgresql_flexible_server.db_server.name}.postgres.database.azure.com"
  resource_group_name = azurerm_resource_group.app.name
}
resource "azurerm_private_dns_zone_virtual_network_link" "db_server" {
  name                                  = "postgres"
  resource_group_name    = azurerm_resource_group.app.name
  private_dns_zone_name = azurerm_private_dns_zone.db_server.name
  virtual_network_id           = azurerm_virtual_network.app.id
}

Im having the same problem. It seems from the 15th July MS Azure require that azure postgres flexible server instances, fqdn & dns records are on a custom private dns zone. With the azurerm provider currently it only seems possible to place the azure postgres flexible server on the default private zone: .postgres.database.azure.com

Although it is almost two years later, I have the same question. It seems my host was registered in a private zone other than the default, it was not with the specified name of the resource and appears to be a random string of characters. Has this issue been resolved, it worked fine with the single server.