AWS cloudtrail with S3 data events enabled create logging loop

Question

I've created AWS cloud trail and pointed it to S3 bucket with data event configuration to log all S3 data events:

eventSelector: [
      {
        readWriteType: 'All',
        includeManagementEvents: true,
        dataResource: [
          {
            type: 'AWS::S3::Object',
            values: ['arn:aws:s3'],
          },
        ],
      },
    ],

Not surprising, this created logs loop - cloud trail write to S3 logs, which generates new trail, resulting in writing to S3 and so on. My question here is about best practices: What should I configure? I don't want to exclude the logging bucket from the logs, so I am thinking to exclude only cloud trail write events that are done by cloud trail. Looking for better ideas...