Laying the issue of oil quenching in the building aside, I would argue that you’d have a hard time (pun intended) getting the slow even heat you’ll want using the induction forge. A better bet would be to come to the Intro to Blacksmithing and Open forge class next month and use the gas forge (or even better: the coal forge if it is being used) and the oil tank from the Blacksmithing trailer to quench the blade.
We did three (I think) blades last Sunday…
The next class is pending for 8 April @ 10:00am. It should be up on the calendar Saturday evening.
If you’re just wanting to do the quench, there’s no need to sign up for the class - just show up at least an hour before the class end time (e.g. show up before 1pm if possible). That way you should be able to get the work done before the end of the class and allow time for the forges to cool down before being stored away.