RuntimeError: Expected JSON path to start with '$', got: States.Format('LogStreamName: {}', $.Cause.Container.LogStreamName)

$ cdk deploy  --exclusively JobPollerStack
...
jsii.errors.JavaScriptError:
  Error: Expected JSON path to start with '$', got: States.Format('LogStreamName: {}', $.Cause.Container.LogStreamName)
      at renderJsonPath (/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/jsii-kernel-3Ir8Er/node_modules/aws-cdk-lib/aws-stepfunctions/lib/states/state.js:1:9755)
      at Fail.toStateJson (/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/jsii-kernel-3Ir8Er/node_modules/aws-cdk-lib/aws-stepfunctions/lib/states/fail.js:1:1050)
      at StateGraph.toGraphJson (/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/jsii-kernel-3Ir8Er/node_modules/aws-cdk-lib/aws-stepfunctions/lib/state-graph.js:1:2159)
      at ChainDefinitionBody.bind (/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/jsii-kernel-3Ir8Er/node_modules/aws-cdk-lib/aws-stepfunctions/lib/state-machine.js:1:12008)
      at new StateMachine (/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/jsii-kernel-3Ir8Er/node_modules/aws-cdk-lib/aws-stepfunctions/lib/state-machine.js:1:6368)
      at Kernel._Kernel_create (/private/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/tmpv90l1_x_/lib/program.js:10108:25)
      at Kernel.create (/private/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/tmpv90l1_x_/lib/program.js:9779:93)
      at KernelHost.processRequest (/private/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/tmpv90l1_x_/lib/program.js:11696:36)
      at KernelHost.run (/private/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/tmpv90l1_x_/lib/program.js:11656:22)
      at Immediate._onImmediate (/private/var/folders/_b/2b2x6djs2q77mc8d8pt49r0m007nfk/T/tmpv90l1_x_/lib/program.js:11657:46)

The above exception was the direct cause of the following exception:

Traceback (most recent call last):
  File "/Users/kiko1739/code/csds/src/csds_app.py", line 682, in <module>
    job_poller_stack = JobPollerStack(app, 'BadStack')
                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/jsii/_runtime.py", line 118, in __call__
    inst = super(JSIIMeta, cast(JSIIMeta, cls)).__call__(*args, **kwargs)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/src/stacks/step_bad_stack.py", line 85, in __init__
    sm = _aws_stepfunctions.StateMachine(
         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/jsii/_runtime.py", line 118, in __call__
    inst = super(JSIIMeta, cast(JSIIMeta, cls)).__call__(*args, **kwargs)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/aws_cdk/aws_stepfunctions/__init__.py", line 10097, in __init__
    jsii.create(self.__class__, self, [scope, id, props])
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/jsii/_kernel/__init__.py", line 334, in create
    response = self.provider.create(
               ^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/jsii/_kernel/providers/process.py", line 365, in create
    return self._process.send(request, CreateResponse)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/kiko1739/code/csds/venv_311/lib/python3.11/site-packages/jsii/_kernel/providers/process.py", line 342, in send
    raise RuntimeError(resp.error) from JavaScriptError(resp.stack)
RuntimeError: Expected JSON path to start with '$', got: States.Format('LogStreamName: {}', $.Cause.Container.LogStreamName)

Subprocess exited with error 1

# adapted from https://github.com/aws-samples/aws-cdk-examples/blob/main/python/stepfunctions/stepfunctions/stepfunctions_stack.py

from aws_cdk import (
    aws_stepfunctions as _aws_stepfunctions,
    App, Duration, Stack
)

class JobPollerStack(Stack):
    def __init__(self, app: App, id: str, **kwargs) -> None:
        super().__init__(app, id, **kwargs)

        # Step functions Definition

        submit_job = _aws_stepfunctions.Wait(
            self, "Submit Job",
            time=_aws_stepfunctions.WaitTime.duration(
                Duration.seconds(30))
        )

        wait_job = _aws_stepfunctions.Wait(
            self, "Wait 30 Seconds",
            time=_aws_stepfunctions.WaitTime.duration(
                Duration.seconds(30))
        )

        status_job = _aws_stepfunctions.Wait(
            self, "Get Status",
            time=_aws_stepfunctions.WaitTime.duration(
                Duration.seconds(30))
        )

        error_path = "$.Cause.Attempts[0].StatusReason"
        cause_path = "States.Format('LogStreamName: {}', $.Cause.Container.LogStreamName)"
        fail_job = _aws_stepfunctions.Fail(
            self, "Fail",
            error_path=error_path,  # works
            cause_path=cause_path  # fails
        )

        succeed_job = _aws_stepfunctions.Succeed(
            self, "Succeeded",
            comment='AWS Batch Job succeeded'
        )

        # Create Chain

        chain = submit_job.next(wait_job) \
            .next(status_job) \
            .next(_aws_stepfunctions.Choice(self, 'Job Complete?')
                  .when(_aws_stepfunctions.Condition.string_equals('$.status', 'FAILED'), fail_job)
                  .when(_aws_stepfunctions.Condition.string_equals('$.status', 'SUCCEEDED'), succeed_job)
                  .otherwise(wait_job))

        # Create state machine
        sm = _aws_stepfunctions.StateMachine(
            self, "StateMachine",
            definition_body=_aws_stepfunctions.DefinitionBody.from_chainable(chain),
            timeout=Duration.minutes(5),
        )

# in app.py:
# job_poller_stack = JobPollerStack(app, 'BadStack')