Hello. I currently use the following code to retrieve and decompress string data from Amazon C#:

GetObjectRequest getObjectRequest = new GetObjectRequest().WithBucketName(bucketName).WithKey(key);

using (S3Response getObjectResponse = client.GetObject(getObjectRequest))
{

    using (Stream s = getObjectResponse.ResponseStream)
    {
        using (GZipStream gzipStream = new GZipStream(s, CompressionMode.Decompress))
        {
            StreamReader Reader = new StreamReader(gzipStream, Encoding.Default);

            string Html = Reader.ReadToEnd();
            parseFile(Html);
        }

    }
}

I want to reverse this code so that I can compress and upload string data to S3 without being written to disk. I tried the following, but I am getting an Exception:

using (AmazonS3 client = Amazon.AWSClientFactory.CreateAmazonS3Client(AWSAccessKeyID, AWSSecretAccessKeyID))
{
    string awsPath = AWSS3PrefixPath + "/" + keyName+ ".htm.gz";

    byte[] buffer = Encoding.UTF8.GetBytes(content);
    using (MemoryStream ms = new MemoryStream())
    {
        using (GZipStream zip = new GZipStream(ms, CompressionMode.Compress))
        {
            zip.Write(buffer, 0, buffer.Length);

            PutObjectRequest request = new PutObjectRequest();
            request.InputStream = ms;
            request.Key = awsPath;
            request.BucketName = AWSS3BuckenName;

            using (S3Response putResponse = client.PutObject(request))
            {
                //process response
            }
        }
    }
}

The exception I am getting is:

Cannot access a closed Stream.

What am I doing wrong?