As far as I know, the content of “Console tab” is the output via Logback that resides inside Katalon Studio. If you could customize the Logback config, it would be possible for you to let Logback write the content into a file as well (in addition to the Console tab).
However the configuration of Logback is entirely managed by Katalon Studio, and it offers users no chance to customise the config. See the following as evidence:
Something like “log” — all you have is the files under the “Reports” folder. No more.
If you take a careful look into the files under the Reports folder, you may find something useful for you. Though I am not sure, as you have not described what type of information you want to see.