You've got a few potential outs.

Have you ever been attended, treated or observed by any doctor or psychiatrist

You said you saw a psychologist. All psychiatrists are doctors, by definition: psychiatry is a specialty for people with an M.D. or D.O. degree. Did your psychologist have only a Master's degree? Then he wasn't a doctor. Did he have a Psy.D.? Debatable as to whether he's a doctor. It depends on whether doctor is defined in the NJ statute in question. It would be worth referring to the law itself.

or at any hospital or mental institution

Did your counseling take place as a regular office or medical practice? If so, that's not a hospital or mental institution, so it wouldn't count.

on an inpatient or outpatient basis for any mental or psychiatric condition?

To your knowledge, were you ever actually diagnosed with a mental or psychiatric condition? If not, it was just "advice" as you say.

So, if I understand the question correctly, you have to have been treated:

by a doctor or psychiatrist OR in a hospital or mental institution

AND

for a mental or psychiatric condition.

If you were treated by a psychologist with an M.A. in his office in an office park and he never said "I'm diagnosing you with Antisocial Personality Disorder" or whatever, then there's no problem. Even if you talked in general terms about being "depressed" or "anxious," for example, that's still different than actually being diagnosed with Major Depressive Disorder or Generalized Anxiety Disorder or whatever.

Granted, New Jewsey is cucked, but most of those laws are intended to apply to severe mental illness like schizophrenia, anyway. Psychotic disorders and the like.