Ok so we're pretty darn sure it's not wiring to the O2 sensor since an overlay doesn't fix it.
1v out of the O2 pretty consistently would trigger the code. And generally lead me towards replacing a sensor, which you did with a Mopar. Are you ready sure it was a Mopar? Lots of fakes out there?
Not an exhaust leak, not a plugged cat.
Did we eliminate the PCM or grounds as an issue?
-Mac