Something is sure not right in your engine. I have had  89 and 98 Maximas they
both never dropped the oil level even when using Mobil1. My advice is to try to
get a replacment engine. I know this may not happen. If you can't I would
quickly get rid of this oil user as things won't get better. I know this sounds
tough but I have in the past tried living with problem auto and trucks and I
learned it is not a good choice.

Take the new engine as there is something wrong with yours.  I have a
2000 Maxima and it uses no oil between changes.

This engine should use zero oil between changes.  Yours is screwed up
very badly if you are using the correct oil.

That's about 600 miles to a quart.  I had a VW engine that did that
exact thing 25 years ago; it was in a brand new Plymouth econobox.  I
put up with it because I was a student, couldn't afford to take the car
out of service and pay for a rental, and was also stupid.  It didn't
get any worse, and didn't get any better, for 79,000 miles until the
car was totalled.

I was constantly having to add oil.  Every other fill-up, almost.

You don't see yourself doing this for years, do you?

You are at the point where even a dealer will agree the engine must be
replaced.  If they give any hassle, contact the manufacturer's rep.  Be
sure that you are documenting each visit to the dealer, so you can try
to take advantage of the motor vehicle lemon law if you need to.

JM