I'm not really sure why it happen, but I created a new material, added a black mask to it, and tried to used the "Mesh fill" option. Not all of the mesh got the same color, there are some white seams (in this case) instead of having it all red. I'm not sure if it's something I need to change in the baking parameters or not. My working theory is that it happens because the UV of two meshes or more are packed close together (though no overlapping).
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Also, changing the resolution of the textures reduce the problem, though not eliminating it completely.
This is 1K-
This is 4K-