A quart in the first 5000 miles is typical
A quart in the first 5000 miles is typical.(if its new)
The rings have to get seated . After that it shouldn't burn much if any.
Its good that you are monitoring it keep it up.
I had this in my new e46 after the first 5000 it was the tightest
engine I ever had . I used 5k oil change intervals but it would never
be down at all in the 70k miles I owned it.
Did you read the break in guidelines?
If it does this in the next 5k I would start to worry.