Cloudwatch log subscription filter escaping quotations issue

Hello
I am on terraform 1.2.2/aws provider 4.2.0

I need to create a pattern for a cloudwatch log subscription that matches

"level":"error"

Matching only error is not ok, because there is an “error_id” in every message.
I tried ““level”:“error”” (also "\“level”…) but I keep getting the error:

 Error: error updating CloudWatch Log Subscription Filter (XXX): InvalidParameterException: Invalid subscription filter pattern
│
│   with aws_cloudwatch_log_subscription_filter.logfilter[0],
│   on logs.tf line 9, in resource "aws_cloudwatch_log_subscription_filter" "logfilter":
│    9: resource "aws_cloudwatch_log_subscription_filter" "logfilter" {
│
╵
ERRO[0016] 1 error occurred:
	* exit status 1

After some research I have tried to use format(), but it is not allowed in the variable definition…

sample

variable "lambda_streamer_filters" {
  default = "?\"level\":\"error\" ?Starting ?Shutting"
}

resource "aws_cloudwatch_log_subscription_filter" "logfilter" {
  name            = "test-log-filter"
  log_group_name  = "test"
  filter_pattern  = var.lambda_streamer_filters
  destination_arn = replace(data.aws_lambda_function.lambda.arn, ":$LATEST", "")
  distribution    = "ByLogStream"
}

Is there a way to have such pattern ? alternative is filter at the lambda function or add an extra key:val i can filter on and is not used anywhere else…

thank