Replace rings/valve seals or keep replacing oil?

If I understand your OP, you are using a quart of oil every 3000 miles. I would add a quart every 2000 miles and change the oil on a regular schedule. I don’t see any reason to do engine work if the spark plugs aren’t fouling, and you don’t seem to indicate that this is a problem.

I once had a Ford Maverick that I purchased that used a quart of oil every 300 miles and I did have trouble with the spark plugs fouling. For about $35 in those days, I had new valve stem seals and the consumption dropped to a quart every 1000-1250 miles.

Even with $2300 worth of work, there really isn’t any guarantee that this would take care of the oil consumption problem.