All Insights sent to a Slack channel will allow you to directly Acknowledge or Resolve them, however your Slack user account email must match the email of your Jepto account. All actions will be recorded and messages updated to ensure that other team members are aware that the Insight has an action against it and prevent multiple acknowledgments or resolve attempts.
If you would like to take action on an Insight from a 3rd Party tool, you can utilise the Zapier connector to create a one way or bi-direction sync of Insights.
A common example is that you may wish to have new Insights create a task in your Project Management system and then when you have investigated/completed the task you wish to resolve the Insight without having to log back in and find the specific Insight to resolve.
There is a detailed blog post here: https://www.jepto.com/blog/fitting-anomaly-detection-into-your-workflow that can guide you on how to configure this.