why streamText has Content-Length: 0 and empty body

[EvaDigital]

Hi, guys
i have a some problem
i wan't to make a stream, but all stream methods returns me Content-Length: 0

code exemples

lambda/index.ts

import { Hono } from 'hono'
import { streamHandle } from 'hono/aws-lambda'
import { streamText } from 'hono/streaming';

const app = new Hono()

app.get('/stream', (c) => {  
    return streamText(c, async (stream) => {
        // Write a text with a new line ('\n').
        await stream.writeln('Hello')
        // Wait 1 second.
        await stream.sleep(1000)
        // Write a text without a new line.
        await stream.write(`Hono!`)
      })
})

export const handler = streamHandle(app)

lib/stack.ts

import * as cdk from 'aws-cdk-lib'
import { Construct } from 'constructs'
import * as lambda from 'aws-cdk-lib/aws-lambda'
import * as apigw from 'aws-cdk-lib/aws-apigateway'
import { NodejsFunction } from 'aws-cdk-lib/aws-lambda-nodejs'
import { Duration } from 'aws-cdk-lib'

export class StreamAppStack extends cdk.Stack {
  constructor(scope: Construct, id: string, props?: cdk.StackProps) {
    super(scope, id, props)

    const fn = new NodejsFunction(this, 'streamLambda', {
      entry: 'lambda/index.ts',
      handler: 'handler',
      runtime: lambda.Runtime.NODEJS_20_X,
      timeout: Duration.seconds(60)
    })
    fn.addFunctionUrl({
      invokeMode: lambda.InvokeMode.RESPONSE_STREAM
    })
    new apigw.LambdaRestApi(this, 'streamApi', {
      handler: fn,
    })
 }

response headers