@18203024, thank you for posting this question on Microsoft Q&A.
Connection monitor does support Azure Monitor Agent for endpoint monitoring. Please review the steps available in the following document for more details - Monitor network connectivity using Azure Monitor agent with connection monitor
Furthermore, as you are using LA agent and under process to evaluate/migrate to AMA, the following document will help you with the step-by-step guide for the migration - Migrate to Azure Monitor Agent from Log Analytics agent. For specific features which were supported with log analytics agent, review the Migrate additional services and features link which contains table with information about migrating those features to Azure Monitor Agent (AMA).
Hope this helps.
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