request from static webside on s3 to API Gateway to Lambda, blocked by CORS, tried everything

I have a workflow Postman -> APIGateway -> Lambda ->Amazon translate And it works perfect when I send request from postman. From static website (tried local and deployed to s3) I am getting CORS error

Access to fetch at 'myapigatawaylink' from origin 'myStaticWebsiteDeployedFromS3' has been blocked by CORS policy: Response to preflight request doesn't pass access control check: No 'Access-Control-Allow-Origin' header is present on the requested resource. If an opaque response serves your needs, set the request's mode to 'no-cors' to fetch the resource with CORS disabled.

I read amazon articles, and i either don´t understand something or something is missing, tried to fix this CORS policy everywhere:

1.Frontend:

const response = await fetch("mygatawayapilink/dev/trialrsrc", {
        // mode: 'no-cors', commented out, It doesn´t give error if i discomment it but i get no response (200 empty)
        method: "POST",
        body: JSON.stringify({
            text: e.target[0].value
        }),
        headers: {
            "Content-type": "application/json",
            'Access-Control-Allow-Origin': "*",
        }
    })
    .then(res => res.json())

2.Lambda Itself:

 exports.handler = async (event) => {

  const AWS = require("aws-sdk");
  AWS.config.update({region: "eu-west-1"});
  const translate = new AWS.Translate();
  
  let params = {
    SourceLanguageCode: 'auto',
    TargetLanguageCode: 'es',
    Text: event.text
  };
  
  const translated = await translate.translateText(params).promise();
  
  return {
    statusCode:200,
    headers: {
            "Access-Control-Allow-Origin": '*',
            "Access-Control-Allow-Headers" : "Content-Type",
            "Access-Control-Allow-Methods": "OPTIONS,POST,GET"
        },
    body: translated
  }
};

3.API Gateway: I have GET POST AND OPTIONS METHODS, all of them I have done Actions ->Enable CORS

Is it possible to fix it, or i have to use other service like cloudfront or proxy