Yeah, unfortunately you broke the rules. It might not have felt like cheating but the proctors were doing their jobs by giving you the gold slip. I’d agree with the above advice to write an addendum
... .lsac.org/applying-law-school/misconduct-irregularities
"If the subcommittee ... preponderance of the evidence shows misconduct or irregularity, then a report ...
All the apps I did last cycle and this cycle under the student misconduct section or whatever it’s called, specify “post-secondary,” as in after high school.