  In this article, we investigate an interacting particle system featuring
random intensities, individual noise, and environmental noise, commonly
referred to as stochastic point vortex model. The model serves as an
approximation for the stochastic 2-dimensional Navier-Stokes equation. We
establish a quantitative mean-field convergence for the stochastic
2-dimensional Navier-Stokes equation in the form of relative entropy. To
address challenges posed by environmental noise, random intensities, and
singular kernel, we compare relative entropy for conditional distributions,
employing technology of disintegration and the relative entropy method
developed by Jabin and Wang in [JW18].
