CFD Question [integral continuity over multiple gas outlets]

Hi! I am currently using Nvidia-Modulus to design a simple 2D CFD problem. My current problem involves a single gas inlet and three gas outlets, and I would like to impose a mass flow rate constraint in a way that equalizes inlet mass flow and the sum of three gas outlet mass flow. However, I experience some struggles imposing this constraint.

When I go through the examples online, I found that most problems only involve a single gas outlet and use normal_dot_vel to impose this, but since the problem involves only a single outlet, the imposed constraint is quite straightforward.

Any comments would be appreciated. Thanks!