The purpose of performing a dark reaction, specifically the Calvin-Benson cycle, is to utilize ATP and NADPH generated in light reactions to convert CO2 into carbohydrates. Including the dark reaction in the PSII activity assay is crucial because the hydrolysis of water, which occurs in PSII, is linked to the energy and protons needed for the dark reaction. This connection highlights the importance of PSII in facilitating the dark reactions.