When you click on an event in the Event Log Stream, a popup with detailed information, including the stableID, should appear. This is the default behavior when the ID type configured on the gate/experiment is shown in the list view.
If you want to make a gate or experiment a stableID based gate/experiment, the most relevant column to show to ensure you have configured your gate/experiment and checks in code correctly is the unit type of the gate/experiment itself. If you change the unit type to “stableID”, that column will change to stableID.
It's important to note that Statsig allows you to experiment on userID, stableID, and up to 5 customIDs. Therefore, the table can't really scale to show all the IDs inline. However, once the unit type is changed to "stableID", the Statsig Stable ID will appear in the exposure stream.