CO2 concentration in a sheet of water

I want to determine the CO2 concentration in a sheet of water contained within a rectangular container measuring 30 m by 60 m, with a surface area of 1,800 m². The water level height is 40 cm. The water surface is in direct contact with the air, which can be considered stationary (no wind), and has a known CO2 concentration of approximately 470 ppm. Alongside one of the container’s walls, there are eight semi-submerged water jets (see photo) that are part of a closed recirculating system. We assume that the water pumped through these jets is mixed with the air, so it enters the water sheet with the same CO2 concentration as the air. How can I estimate the approximate CO2 concentration steady state throughout the entire water volume? I am particularly interested in the near-surface water volume. As the microalgae acts, there’s a flow of fixed CO2 that deposits in the botton at a given approximate rate. Thank you.