Consider yourself very lucky finding that C6 Avant
As with any 3.0T engine, perform oil changes every 5000 miles. I prefer Motul, but Castrol 5W-40 will work as well.
As far as oil consumption are concerned, you can read ShopDAP's article here,
https://www.shopdap.com/blog/post/co...-engines1.html
Oil consumption in these engines isn’t as big of an issue as it has been with the first generation 2.0T TSI engines, but it’s still a concern that’s been addressed by Audi. Early first generation 3.0T engines produced before mid 2012 had a higher pressure regulation valve for the oil separator. This PCV unit is located under the supercharger assembly, vacuum lines, and fuel rails. This separator unit sucks air from the valve covers, under the supercharger, and into a heavy oil separating unit through a course of passageways and valves. Once the heavy oil particles have dropped, the small lighter particles are passed through a port into the base of the supercharger housing, and burned through the intake. The updated PCV valve has a lower pressure regulating valve which helps with oil consumption concerns. In the rare case that these updated parts didn’t alleviate the consumption, new, tighter fitting piston rings were installed in the engines. - ShopDAP (Deutsche Auto Parts)
It lists most of the issues that the older 3.0T engines were having (production year's 2009 - 2012).
I wouldn't get carried away too much by the article as it really boils down to owner's responsibility, performing preventive maintenance, and driving daily.
You may consider carbon cleanup too if you experience sluggish performance.
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