Have a look yourself in a model created from physical principles:

https://www.mi.uni-hamburg.de/en/arbeitsgruppen/theoretische...

(Expect a stationary state to take at least 50 years to run after starting or disturbance (such as changing incoming radiation or CO2) since the ocean model is a mixed layer and takes a while to equilibrate. In the real world the ocean mixing time is ~1000 years though.)