Hi,
Container Insights installs special Azure Monitor agent version for containers but there is no option to collect custom logs with it. Assuming that this is some application that is generating those logs Microsoft recommends to use Application Insights to log application logs. Other option is to send those send those logs to stdout/stderr which are picked by container Insights:
Application logs
Container insights sends stdout/stderr logs to a Log Analytics workspace. See Resource logs for a description of the different logs and Kubernetes Services for a list of the tables each is sent to.
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