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As someone not fully literate in economics, how is this measured? Inflationwise are there real life price comparisons and is buying power relevant or can inflation make it falsely look like number go big so economy goes brrrr? >

Recession has 0 relation to inflation. A recession means 2 quarters of negative GDP growth. What this article is saying is that the German economy is going to continue to grow. 
The term recession in general has 0 connection to buying power or the cost of living. It is literally just a term to describe the big picture stuff for the entire economy.