Now I'm getting a little more confused. What's the difference between k-carbonate and k-bicarbonate?
Potassium Carbonate is the double potassium salt of carbonic acid.
Potassium bicarbonate is the mono potassium salt of carbonic acid.
The double salt will react with two acid protons in the wine whereas the mono salt will only react with one.
The end product of neutralizing the tartaric (or malic) acid is the potassium bitartrate salt that will crystallize out as wine diamonds eventually if it exceeds the concentration that is soluble.
The other product - carbonic acid - comes apart to ultimately form CO2 and water.
I have drawn all the chemical structures and equations in the attached image.