How bad does indecent exposure misdemeanor sound like in background check?

I have this design engineering job that I applied and it fits my background perfectly but giving the fact that it’s a big company scares me. I recently had lyft do a background check on me and I was rejected due to exposing sexual organ charge on my record. I know it sounds terrible, but I wasn’t mentally doing okay at that time and was actually running around with my towel when some neighbor reported me and accused me of showing my sexual organ to them. So I served my time learned my lesson and trying to get back. I recently heard the term called post conviction relief and it’s something I’m working on with a lawyer first thing Monday. I was wondering if I pass to the point where the company does background check on me, should I just disclose that I have this charge and working on getting it removed given I had a mental health issue at the time? How would you approach to this? Thanks for the help.