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Welcome to the forum.
I wouldn't worry about an oil burn rate of one qt in three thousand miles!
There are a LOT of cars out there that burn more than that and will run for a long time with no issue. Honestly, I wouldn't even think about an engine rebuild until the consumption went over 1qt/1,000 miles.
You will need to make checking the oil part of your routine, especially when it is new to you. Keep on eye on the burn rate, establish what is "normal" for your engine.
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