Adding the <skip_report/> directive to your agent.xml will cause the agent to skip sending reporting messages. 

(info) NOTE: Adding this directive will also turn off sending receipts back for Data Guarantee.

<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
<config>
   <agent>
      <skip_report/> 
      <share/>
      <subscribe>
         <task instances="4">
            <task_name>datasyncforservicenow_to_mysql_subscribe</task_name>
            <message_connection password="encrypted:vlOtU71yu8N/EFIJH85SSBtaIt7qEEfvqiqft9VZyYE=" queue="psp.out.replicator.testqueue" user="admin" use_basic_consume="false">https://<name>.perspectium.net</message_connection>
            <instance_connection password="encrypted:vlOtU71yu8N/EFIJH85SSPN9aF0P5/YViVwPEVFcGW4=" user="test.user">https://myinstance.service-now.com</instance_connection>
            <handler>com.perspectium.replicator.sql.SQLSubscriber</handler>
            <decryption_key>The cow jumped over the moon</decryption_key>
            <database_type>mysql</database_type>
            <database_server>localhost</database_server>
            <database_port>3306</database_port>
            <database_user>user</database_user>
            <database_password>encrypted:vlOtU71yu8N/EFIJH85SSMoilKLTeJHQrNZPJ7c5tFU=</database_password>
            <database_parms>autoReconnect=true & characterEncoding=UTF-8 & useSSL=false</database_parms>
            <database_column_max_size>251</database_column_max_size>
            <database>psp_repl</database>
         </task>
      </subscribe>
   </agent>
</config>


Some examples of reporting messages:

2019-10-10 08:13:38.534 INFO  MessageManager - bytes:167  first one: {"name":"status","topic":"monitor","attributes":"component_type=replicator_agent","type":"heartbeat","value":"Perspectium-Version: Dubnium_4.2.2","key":"examplekey"}

2019-10-10 08:13:40.764 INFO  MessageManager - bytes:189  first one: {"topic":"monitor","type":"replicator","key":"examplekey","name":"Msg/s : EventSubscriberInternalTest","attributes":"","extra":"","psp_timestamp":"2019-10-10 15:13:10.472","value":"0.00"}

2019-10-10 08:13:41.120 INFO  MessageManager - bytes:185  first one: {"topic":"monitor","type":"replicator","key":"examplekey","name":"Msg/s : EventSubscriberInternal","attributes":"","extra":"","psp_timestamp":"2019-10-10 15:13:12.712","value":"0.00"}

2019-10-10 08:13:42.490 INFO  MessageManager - bytes:186  first one: {"extra":"","name":"Msg/s : PagentSubscriberCUSTOM_A","topic":"monitor","attributes":"","type":"replicator","psp_timestamp":"2019-10-10 15:13:40.467","value":"2.20","key":"examplekey"}

2019-10-10 08:13:43.236 INFO  MessageManager - bytes:178  first one: {"extra":"","name":"Msg/s : PagentSubscriber","topic":"monitor","attributes":"","type":"replicator","psp_timestamp":"2019-10-10 15:13:33.255","value":"0.00","key":"examplekey"}