AWS Cloudwatch logs are limited to 256Kb, so big messages are separated

[smuryginim]

Hello everybody.
I'm currently in progress of migration to Cloudwatch logs and want to use the current plugin to stream logs to ES.
Everything works fine, but when I have big messages in my scenario > 256 Kb, then they are broken into parts.
Doc is here https://docs.aws.amazon.com/AmazonCloudWatch/latest/events/CalculatePutEventsEntrySize.html

In my scenario, I publish log in JSON format in cloudwatch with some additional metadata, like "app", "profile", etc.

<appender name="json-output" class="ch.qos.logback.core.ConsoleAppender">
        <encoder class="net.logstash.logback.encoder.LoggingEventCompositeJsonEncoder">
            <providers>
                <timestamp/>
                <mdc/>
                <logLevel/>
                <loggerName/>
                <pattern>
                    <pattern>
                        {
                        "profile": "${PROFILE}",
                        "app": "${APPNAME}"
                        }
                    </pattern>
                </pattern>
                <threadName/>
                <message/>
            </providers>
        </encoder>
    </appender>

In Logstash

  cloudwatch_logs {
        start_position => "end"
        log_group => ["/myGroupPrefix"]
        codec => json
        log_group_prefix => "true"
  }

So when the message is broken into parts Cloudwatch produces broken JSON.
Do someone handle such cases with Cloudwatch plugin?